@@smurphas6119 is it bad i did the same only to come up with 10 triangles >.> i came to the conclusion he meant intersections in the lines to make triangles
@@duk8227 That's failing the assingment on so many levels :D The assingment specifically stated STRAIGHT lines. Even though it didn't have to say that because lines are straight by definition (line = straight line, curve = curved line). Also a triangle has 3 sides, so each M has exactly 0 triangles in it, you'd have to close off the top and bottom first to get 3 triangles.
Oh wow supercool I did it and now I kind of get it hahaha (still I find that reverse thinking way difficult and interesting, like I get it after having done it, but I don't think I would come up with a solution like that, I mean, knowing what would the opposite case be, which is -that knowledge- what I find mind-blowing and I'm curious on how to develop it)
The approach that, in the end, gave me the answer, was to solve a simpler problem of creating triangles from a V-shape with three lines, and looking at how many triangles you can get for a certain number of intersections inside the V. Turns out, you can get 3 triangles with 1 intersection. M consists of 3 Vs, so you just need a configuration with 1 intersection in each of the Vs.
I attempted to solve it by analysis, search of deep geometric insight, various combinations... Wasted 30 minutes. Frustrated, crossed out the figure with three quick strokes. *It was the solution*.
although im pretty sure you are lying, i did a ton of geometry and whatnot, but then i tried doing 3 semi-random strokes, and they were really close to the solution, so i redrew it moved over a little bit and got it.
I came up with a different solution to the M problem. I considered it like a riddle, and thought maybe it was context dependent. The first intersects the bottom left "start" of the M with the top right corner of the M, but continues to the edge of the page. The second line does the same thing, but with the opposite end and corner. The last line runs horizontally, and bisects the diamond created at the bottom corner of the M. This creates 8 triangles using only the M and the lines, and the ninth uses the top edge of the page. I didn't consider adjacent triangles as overlapping, and two adjacent triangles are not counted as another.
I got 8 with my 1st idea. However, that’s where I got stuck. I do love your puzzles. Regardless of the source, they always push my mental boundaries! Which is how we grow by pushing our limits. This is rapidly becoming one of my favorite UA-cam channels! Thanks.
When Homer is sideways, his hair makes an M and his ear makes a G. It was clarified a long ago that it was intentional, because those are the initials of Matt Groening, the Simpsons creator.
I’ve actually found another solution to the 3 line thingy, basically if you make a line from the bottom left of the M to the middle up of the most right line, then from do the same thing from the bottom right in a way that intersects with the first line in the second diagonal line of the M, and finally a last line that goes straight from left to right in a way that it intersects with both the prior lines you’ll end up with nine triangles
@@JasminMiettunen Oh crap, you’re right. I actually was about to post that it definitely made 9. Then it looked at my drawing. The bottom middle shape is a quadrilateral. Whoops! 🤦🏻♂️
What's interesting about a puzzle like this is you try a bunch of stuff and can only come up with a maximum of 8 triangles, and your brain tries to convince you that 9 is impossible...even though you know there's a solution here in the video. Doing a lot of puzzles like this gets you to unlearn that destructive impulse.
For real... it was so obvious for me.. a second to think of.... I mean..i expected more from presh... some times he makes great videos other times... well this...what can 1 expect from cartoons/.......
Saw this in my recommended for months (maybe years) and finally decided to give it a shot. Thanks for wasting my time. This could’ve been a minute long.
Interesting, I sort of half-consciously imposed the condition on myself that I need to minimize other shapes while maximizing triangles. So needless to say I didn't get the right answer, and I'm surprised at how much non-triangular space it contains. There's a good Martin Gardner puzzle about filling space with triangles that also contains a surprise pentagon.
@@purple.cube. Connect the left end of the M with the right top corner. Connect the right end of the M with the left top corner and draw the third line horizontally thru the crossing of the two new lines.
Got 8 on my first attempt, and recognizing that the solution needed the most intersections I thought about the configuration of 3 lines needed to give the most intersections. Then it was just a matter of placing it appropriately on the M. Another way to look at it is that you need to make 3 triangles within each angle on the M.
I got 8 on the first go by going thru the M, then from lower corner to upper corner. Made a cool-looking M-like Batarang type thing. Had no clue what would improve it, then began watching again. (Wow, that looks cool, love that "Star" in there! Thanks for showing us.)
Closest I got was 8 on my first try, join the peak and foot of the opposite ends of the M, then split the result horizontally through the middle. And that answer was... *DOH!*
I remember my grandfather giving me this problem when I was about 10yo or so. Took me about 45 minutes and a LOT of trial and error on paper. I finally asked for a hint, and he said to "look at it from a distance" which took me another hour to figure out. Then it was fairly easy. Lol It's a great way to keep a kid with a curious mind occupied. Especially if you promise him a rare treat, in my case going to the ice cream store, if he manages to figure it out all on his own. Lol
This is common in Electronics. We use it because the current is I, but that is distinguible from i. The real current that is mixed with i and happens to be i by convention is AC. When we study phasors we use j instead of i because of that.
2:13 I think an easier, but definitely less rigorous, option is to realize that the only way to add 2 squares to 34 is 25 and 9 and then plugging in the options for x and y and solving. Edit: maybe not easier, although that's a relative term. But I know personally that I tend to absent-mindedly miss something when rearranging equations
Interesting. For some reason I was not taking the "M" figure into account, I thought the problem was to draw 3 straight lines and make 9 non-overlapping triangles (without the M). Which may be possible if you're drawing straight lines on a 4th dimensional figure. I drew 3 straight lines on a sphere and was able to get 8 triangles, but couldn't figure out how to get 9.
@@Alex-kb2ws I would say that is pretty much impossible (just combine 2 adjacent triangle and you will have a quadrilateral) But I am assuming you are not considering overlapping shapes, but even in that case I am unable to find such solution with only 3 lines😅 Although I did got the same solution he showed on my own
I’m actually floored at how simple the solution is in retrospect. Just draw an upside-down star in the center of the M and extend all the lines outward.
Got 7 & 8, interested to see how to do 9. Pretty sure it includes lines that go much farther out than just meeting two points on the M. Edit: got the first 2 lines correct multiple times and did even get to the point where I had a straight line going through but I made that straight line go through the intersections with the 2 added lines and the M rather than just intersecting the 2 added lines. Clever solution!
+Benjamin Shields Only the triangles can't overlap. You can't have a triangle with a line running through it, nor can you have smaller triangles making larger triangles.
Nonsense. You can have triangles with lines, and you can have small triangles making larger ones. What you do need however, is nine triangles that don't include other triangles, and don't overlap, and what this solution gives is the nine triangles that fit the rules, and eight that don't (six with two triangles, and two with three).
The solution gives AT LEAST 13 triangles made of 3 other shapes (overlapping), 5 of them being the big triangle inside the star shape (pentagram in the middle + 2 triangles)
I'm not good with equations, but this video is done really well. It's like you've intentionally distracted us with math and equations while we are trying to solve the main question you gave us.
At 3:50 if I had that question on a test I would’ve put C^2. Would’ve never read the full question and would’ve thought they wanted the Pythagorean Theorem lol.
Regarding the triangle problem, I was going through all kinds of different configurations in my head, with the assumption that there should ONLY be 9 non-overlapping triangles, no other shapes, and came to the conclusion I couldn't figure it out. But of course it doesn't say ONLY triangles. I figured since the initial shape was symmetrical, the 3 lines should also be placed in a symmetrical configuration. I did think of this solution, but assumed I was wrong. I love these kinds of problems, especially when the solution is much simpler than you initially assume.
+Rodjar Van Buuren YTou can still have a solution without quads/pentagons. It's the case when all 3 lines intersect at a point such that 2 of the lines connect each pair of opposite corners.
I tried to draw the problem out and did figure out the first two lines would produce the most triangles. Absolutely did not think of drawing a horizontal line through the whole thing and was trying to draw it off another point in the figure.
Ooh, I had a similar answer for the triangle one and mine's technically not incorrect depending on how the instructions are phrased. Using Dr Frink's image, starting from the bottom left line, I drew a line diagonally up to connect to the top-right arch of the M, but kept going to the end of the paper. Then I did so for the bottom right line, mirroring the previous by connecting it to the top-left arch of the M and again going until the end of the paper. Then a horizontal line that goes through the middle diamond to both ends. This creates 8 non-overlapping triangles using the M, but also a 9th non-overlapping triangle using two edges of the drawn lines as well as the edge of the paper/canvas it's all drawn on. If the instruction was to create 9 non-overlapping triangles only with the M, then I'm incorrect, but to construct it over the diagram and I'm technically not wrong, lol Interesting puzzle!
was searching for someone else who did this i got this solution in under a minute and was pleasantly surprised that it wasn't the one in the video (which would've taken me a bit longer after being told i cheated lol)
+Michael S I think it means overlapping as in one triangle can't be inside another. Doesn't say anything about them be adjacent. I think if you made that a rule, the answer would actually be easier to find.
the more of these things i understand, the sadder i am due to the fact im so much older than i realized like 5 years ago these things would just be like the "hard math stock image", now i kinda understand them and if i werent so lazy i would probably solve them.
+Jackson Percy never ever assume some restriction with these problems. If your solution gets discarded then make your case that it should have been said in the question.
Thanks for taking the time to deconstruct every problem on the video. It's always good to see people walking the extra mile to both make coherent and smart jokes in their media, and other people who thoroughly deconstruct them. Great video! P.S.: Got the solution for the triangles in 1:20 minutes flat. Get on my level bruh.
There's actually another solution to the "M Triangle" puzzle if you think outside the box. 1) Create a line from the bottom-left of the "M" and extend to the top-right. 2) Create another line from the opposite points. 3) Draw a horizontal line through the two middle corners of the diamond-like shape in the middle, extending through both of the other triangles. Where does the 9th triangle come from? Well, if the first and second lines extend from the peaks of the "M" to the edge of the page they'll create a 9th triangle because, even in the example picture, the line will not go past the corner. Thus, the edge of the page becomes the final line of a final triangle. It's kind of cheating but I think it counts.
I feel like i've heard of this puzzle before, and i could see the solution before you explained it, but god this melted my brain the first time i heard about it! xD
I actually got to 10 by drawing a line connecting each top point of the M with its opposite bottom M point, and then drawing a line horizontally in the middle. Really fun puzzle
+Gary Lu Download it from torrent sites like Pirate Bay, Kickass Torrents, or RarBG. Don't use those horrible low quality streaming sites, as they're full of viruses and spam ads.
I paused the video, tried for about half an hour, and managed to get it! I then continued this video and was delighted to find my solution was identical!
I easily got 9 after a little fiddling. It was pretty simple after remembering that a star has five triangles already, so I only needed to go for an upside-down star in the middle and then four other small ones.
WOOOO! AFTER AN HOUR AND A HALF I FINALLY GOT IT. I resorted to tossing out the method that got me to 8 triangles and base everything around the center piece and after 10 or so minutes it clicked when I moved a center line down, making the 7 triangle configuration into a 9 one!
This is one of those problems where you don't want to think too methodically. I failed to solve it by trying a more thought out approach, and then solved it casually another day by simply trying different things.
Okay, I guess I needed more info to do the puzzle. I assumed no other shapes could be made when making the 9 triangles, but that was allowed and I wasn't sure what they meant by overlapping. I wasn't sure if they couldn't share a side or if it meant you couldn't divide one large triangle with a line, making 2 triangles inside it, counting the 2 small triangles and the larger one that contained them as 3.
I don’t know how, seriously, but I definitely figured this out without even watching the video before hand. I’ve learned to “think outside the box” with these and just guessed random lines, cool to see I guessed it right!
Complex equations on the big board, big board shows impossible ways to display Springfield having scored 1 point, which a 7-segment display cannot do. They also messed up Wavery Hills' 2 points. Irony.
What is meant by “non overlapping triangles”? “Overlapping” means two shapes occupying the same space, as far as I can tell you can’t make them overlap even if you try so I think I solved it in 30 second.
I'm thinking that to get that many triangles with only 3 lines, they have to be drawn on some extremely weirdly shaped surface, probably with more than 3 dimensions which would make it impossible to visualise. EDIT: Oh, you can use the M shape. Okay, that makes it easier.
4:28 after knowing the answer, what solutions for a and b are possible? a²+b²=35 | (a+b)²=25. Are there any? Same question for 4:40, x+4y=5 | 3x+5y=6 | 5x+6y=7, then 2x+y=1, but is there an answer what numbers x and y can be?
I actually got this in about 6 minutes and I was very proud of myself. Also one of my maths teachers had that Pi joke on her wall and it took me ages to solve it but when I did it was hilarious
I got annoyed, but ultimately had a laugh at how close I was. I got up to eight non-intersecting triangles, but your answer showed that the last line you placed was ultimately where I mis-placed mine.
That question about the order of operations wasn't very order of operations-y, was it? Just parentheses that you couldn't do anything with without solving them first and numbers adding and subtracting. It's basically "do you know what parentheses are"
Actually I would like to point out as a strict test fundamental, if we were to take the exact phrasing of the test question, for the triangles, it would be impossible. "Drawing 3 straight lines, construct 9 non-overlapping triangles." Does not mention drawing over-top of the existing diagram whatsoever. So if you were to literally, strictly, follow the linguistics of the question, the only possible answer is "this is impossible". In order for the actual question to make sense it would require being to the effect of "By drawing 3 straight lines, over top of this [below] diagram, construct 9 non-overlapping triangles". Many tests use linguistic traps to create smokescreens and distractions for those answering the test, and this includes omission. If this were on a test, I would actually write "this is impossible" and challenge the teacher/professor on the literal aspects of the test. I don't think this aspect has been taken into consideration here.
1 million views!
Yeah and I just got this in my recommendation
Can you do legendary question 6 from the olympiad?
i just got this in my recommendations again
Excellent
Only understood the algebra one cause I have not gotten to geometry yet
I'm over here trying to draw 9 triangle with ONLY 3 straight lines. I then realized you're supposed to use the "M" symbol.
same man, when i saw the thumbnail that's what I started doing
@@smurphas6119 is it bad i did the same only to come up with 10 triangles >.> i came to the conclusion he meant intersections in the lines to make triangles
same i was thinking of a sphere or a donut form lmao
Lol same
I thought that was just a failed attempt from Professor Frink, somehow not realizing those were 4 lines, not 3. D'OH!
The triangle part starts at 5:00
Thanks
Thanks
Thank you!!
👍
Thanks
I actually managed to get 9 by accident while moving one of my lines into the position I was going for, and then I realized I had 9 right there
how do you do it?
@@audreyortman9238 heres the first step in the solution: ua-cam.com/video/wS9yOYWn2ZY/v-deo.html
I got it right first try and didn't even realize I got it right😂
i "drew" it out in my head first try, kinda feel good fir it now
@@madixj same. Pretty sure I miscounted to seven or eight, lol
I got 8 pretty quickly, but then got stuck. Didn't think the solution would include that many non-triangle shapes.
Me too :(
there's a solution without extra shapes
Me 4
Same, tried so hard without non-triangle shapes I didn’t consider they didn’t say they weren’t allowed.
@@ceilinglight1413 that's only 5
5:00 is what u looking for
Thanks a lot
Thank you
Thx and I love your profile pic
Saw this when I was at 4:50
Thanks bro. He was just wasting the time reviewing ep. 👍🏻👍🏻👍🏻
... "and now we've successfully created a pentagram. congratulations, you are now indoctrinated"
What
I like your response 😂😂🤣🤣🤣🤣🤣
This feels like something from futurama
It's fitting at the pythagorian cult kept the pentagon a secret as forbidden knowledge
Aaand 666 upvotes! >:)
After seeing the solution, I expected the ending of the episode to go like this:
Ralph Wiggum: Look! I drawed a kitty!
Jake Eyes! Nice to see you in the comments
Wilson P. Higgsbury
What Does The "P." Stand for?
@@voidentityUTX Pronounced.
You write their name as 'Wilson' and say it as 'Higgsbury', Elon Musk named them.
Ayy ya here
@@voidentityUTX percival, canonically
I could only get 8 :-)
+xisumavoid Hai xisuma :3
+xisumavoid You are everywhere these days!
+xisumavoid I have the same problem....
+xisumavoid "only"
Bro I Watch Your Videos Your Awesome And I solved It With 9 in 2 tries it's hard to explain but good job on 8 😄
I actually felt like a genius for a hot second because that was my first thought for the 9 triangle question
humility apart
M M M
Doesnt each M count as one line depending on how you write it. Each M has 3 triangles in it
@@duk8227 That's failing the assingment on so many levels :D
The assingment specifically stated STRAIGHT lines. Even though it didn't have to say that because lines are straight by definition (line = straight line, curve = curved line).
Also a triangle has 3 sides, so each M has exactly 0 triangles in it, you'd have to close off the top and bottom first to get 3 triangles.
@@Blackn3t H a h a S t r a i g h t L i n e s H a v e N o c u r v a t u r e s T h e r e f o r e G e t R e k t
@@Blackn3t they are straight at an angle
I found the 9 triangles by reversing the problem, which is much easier, I think : draw 3 lines, forming a triangle, and then draw the M shape
Whaaat?
Just draw 3 M's
M M M
Each M is one line lol
Oh wow supercool I did it and now I kind of get it hahaha (still I find that reverse thinking way difficult and interesting, like I get it after having done it, but I don't think I would come up with a solution like that, I mean, knowing what would the opposite case be, which is -that knowledge- what I find mind-blowing and I'm curious on how to develop it)
@@duk8227 it has to be straight lines
@@aidenlee9132 ik I'm retarded
5:46 everything is prepared, start the ritual!
*Speaks in Latin*
*Summons Satan*
*Dies for math*
Estuans Interius Ira Vehementi
@@dontmindmejustlisteningtom8225 dude
@@TheKorenji what?
@@dontmindmejustlisteningtom8225 one winged angel?
In nomine patris et fili et spiritus sancti Amen
The approach that, in the end, gave me the answer, was to solve a simpler problem of creating triangles from a V-shape with three lines, and looking at how many triangles you can get for a certain number of intersections inside the V. Turns out, you can get 3 triangles with 1 intersection. M consists of 3 Vs, so you just need a configuration with 1 intersection in each of the Vs.
I attempted to solve it by analysis, search of deep geometric insight, various combinations...
Wasted 30 minutes.
Frustrated, crossed out the figure with three quick strokes. *It was the solution*.
LOL
For real?
anticorncob6 no, hes lying for internet points
although im pretty sure you are lying, i did a ton of geometry and whatnot, but then i tried doing 3 semi-random strokes, and they were really close to the solution, so i redrew it moved over a little bit and got it.
(x) Doubt
I came up with a different solution to the M problem. I considered it like a riddle, and thought maybe it was context dependent. The first intersects the bottom left "start" of the M with the top right corner of the M, but continues to the edge of the page. The second line does the same thing, but with the opposite end and corner. The last line runs horizontally, and bisects the diamond created at the bottom corner of the M. This creates 8 triangles using only the M and the lines, and the ninth uses the top edge of the page.
I didn't consider adjacent triangles as overlapping, and two adjacent triangles are not counted as another.
draw it
I got a very similar solution. Glad to hear I’m not the only one.
I got 8 with my 1st idea. However, that’s where I got stuck. I do love your puzzles. Regardless of the source, they always push my mental boundaries! Which is how we grow by pushing our limits. This is rapidly becoming one of my favorite UA-cam channels! Thanks.
OH! 3 lines on the M figure. I thought 3 lines by themselves and thought lolwuthow.
Same lmao
@@rly6078 bro that was 3 years ago
@@mayo547 bro that was 2 weeks ago
@@mayo547 and?
@@kawa-imilliye7317 bro that was 1 day ago
When Homer is sideways, his hair makes an M and his ear makes a G. It was clarified a long ago that it was intentional, because those are the initials of Matt Groening, the Simpsons creator.
I’ve actually found another solution to the 3 line thingy, basically if you make a line from the bottom left of the M to the middle up of the most right line, then from do the same thing from the bottom right in a way that intersects with the first line in the second diagonal line of the M, and finally a last line that goes straight from left to right in a way that it intersects with both the prior lines you’ll end up with nine triangles
pretty sure thats how i did it.
@@Dergishmere that's also how I tried to do it at first, and it only results in eight triangles
@@JasminMiettunen Oh crap, you’re right. I actually was about to post that it definitely made 9. Then it looked at my drawing. The bottom middle shape is a quadrilateral. Whoops! 🤦🏻♂️
I think you’re describing the same way I did it :)
1:14
i 8 sum pi
I ate some pie
Oh, I never ate pie
Thanks pal, i was trying to get it in Spanish and it was impossible.
Ohhh, we here read π as P not Pi, so I was hella confused why would anyone eat pee
I read pi as pee...
Valeu. Thank's.
It was hard to me understand.
@@misko5877 which country are you from or is it just your school?
What's interesting about a puzzle like this is you try a bunch of stuff and can only come up with a maximum of 8 triangles, and your brain tries to convince you that 9 is impossible...even though you know there's a solution here in the video. Doing a lot of puzzles like this gets you to unlearn that destructive impulse.
i almost got it. i had the two diagonal lines but then put a horizontal at the top. i like how the solution makes a star in the centre.
sugarkitty2008 pentagram
Paul L A pentagram is a five pointed star. sugarkitty2008 was still correct in calling it a star.
+Larkspur Just tested it you could still make 9 triangles that way
I did the same thing...
*center
it it took me like 30 minutes to figure out and i'm gonna be late for work now.
Did you get to work yet?
Ken M i dont think so man
@@Ahmed-qg7rp his boss gonna be so pissed at him
Xd
For real... it was so obvious for me.. a second to think of....
I mean..i expected more from presh... some times he makes great videos other times... well this...what can 1 expect from cartoons/.......
Saw this in my recommended for months (maybe years) and finally decided to give it a shot. Thanks for wasting my time. This could’ve been a minute long.
Interesting, I sort of half-consciously imposed the condition on myself that I need to minimize other shapes while maximizing triangles. So needless to say I didn't get the right answer, and I'm surprised at how much non-triangular space it contains. There's a good Martin Gardner puzzle about filling space with triangles that also contains a surprise pentagon.
Same, I managed to get eight triangles and no other shapes, but just couldn’t find the last one
Fun fact al jean the showrunner studied math before he got involved in the show.
Dude you should do a video analyzing every Simpson math joke .
I think my Solution is prettier, becaus ther are no white shapes and only blue triangles.
What was your solution?
@@purple.cube. Connect the left end of the M with the right top corner. Connect the right end of the M with the left top corner and draw the third line horizontally thru the crossing of the two new lines.
@@Nuget1994 That's 8 triangles
Presh: Hi this is presh talwalkar
UA-cam: Hi this is pressure locker 😂
😂😂
Fresh lakewater*
Fresh Tallwalker xD
Got 8 on my first attempt, and recognizing that the solution needed the most intersections I thought about the configuration of 3 lines needed to give the most intersections. Then it was just a matter of placing it appropriately on the M. Another way to look at it is that you need to make 3 triangles within each angle on the M.
I got 8 on the first go by going thru the M, then from lower corner to upper corner.
Made a cool-looking M-like Batarang type thing.
Had no clue what would improve it, then began watching again.
(Wow, that looks cool, love that "Star" in there! Thanks for showing us.)
Making a pentagram is the solution... Satanic illuminati confirmed
Mau dL actually a pentacle
There’s no circle around it so no, not Satan
Axel Rios they're the same thing
A pentagram is a five-pointed star. Up or down is irrelevant.
Try phythagoreans...
oh, I was close, I should've moves the last line a little farther downwards
That was some original, All-Americant, good, clean FUN. I thoroughly enjoyed solving those.
That's not the only solution!
John Meo Yeah
You can also draw the last line through the top of the M
Edit: Nevermind that would make them overlap
Yes, you can drar a Z over the M
Z ower M is not a solution. It is only 5 triangles.
@Kroshi that's not a solution
Closest I got was 8 on my first try, join the peak and foot of the opposite ends of the M, then split the result horizontally through the middle.
And that answer was... *DOH!*
I remember my grandfather giving me this problem when I was about 10yo or so. Took me about 45 minutes and a LOT of trial and error on paper. I finally asked for a hint, and he said to "look at it from a distance" which took me another hour to figure out. Then it was fairly easy. Lol
It's a great way to keep a kid with a curious mind occupied. Especially if you promise him a rare treat, in my case going to the ice cream store, if he manages to figure it out all on his own. Lol
Engineers won’t get the maths joke... j ate some pie? Who’s j?
Why do they use j instead of i?
shayan moosavi I think it’s to with “i” representing current, to avoid confusion
@@Hdighton97 my thought was also the same but I wasn't sure.
*j ate some three
This is common in Electronics. We use it because the current is I, but that is distinguible from i.
The real current that is mixed with i and happens to be i by convention is AC.
When we study phasors we use j instead of i because of that.
5:44 I didn't expect the summoning of Satan, I expected a math problem!
Lol
2:13 I think an easier, but definitely less rigorous, option is to realize that the only way to add 2 squares to 34 is 25 and 9 and then plugging in the options for x and y and solving.
Edit: maybe not easier, although that's a relative term. But I know personally that I tend to absent-mindedly miss something when rearranging equations
Interesting. For some reason I was not taking the "M" figure into account, I thought the problem was to draw 3 straight lines and make 9 non-overlapping triangles (without the M). Which may be possible if you're drawing straight lines on a 4th dimensional figure. I drew 3 straight lines on a sphere and was able to get 8 triangles, but couldn't figure out how to get 9.
Found a slightly different 9 triangles solution from yours
Me too
Show us please
Was it two diagonal lines and a higher up horizontal line?
Might be a bit late to the party, but found a solution with 9 traiangles only and no other shapes
@@Alex-kb2ws I would say that is pretty much impossible (just combine 2 adjacent triangle and you will have a quadrilateral)
But I am assuming you are not considering overlapping shapes, but even in that case I am unable to find such solution with only 3 lines😅
Although I did got the same solution he showed on my own
I’m actually floored at how simple the solution is in retrospect. Just draw an upside-down star in the center of the M and extend all the lines outward.
That was literally the first thing i tried and it worked
I guess i was too lucky
Same :/
Same :O
Sameee
Try to find another way to solve it there are multiple
I solved the first problem without writing. Just looking at the paused "M" drawing lines in my mind. Damn i feel smart now^^
Got 7 & 8, interested to see how to do 9. Pretty sure it includes lines that go much farther out than just meeting two points on the M.
Edit: got the first 2 lines correct multiple times and did even get to the point where I had a straight line going through but I made that straight line go through the intersections with the 2 added lines and the M rather than just intersecting the 2 added lines. Clever solution!
in the triangle problem, i thought you couldnt overlap lines
+Benjamin Shields Only the triangles can't overlap. You can't have a triangle with a line running through it, nor can you have smaller triangles making larger triangles.
Nonsense. You can have triangles with lines, and you can have small triangles making larger ones.
What you do need however, is nine triangles that don't include other triangles, and don't overlap, and what this solution gives is the nine triangles that fit the rules, and eight that don't (six with two triangles, and two with three).
Non-overlapping triangles
The solution gives AT LEAST 13 triangles made of 3 other shapes (overlapping), 5 of them being the big triangle inside the star shape (pentagram in the middle + 2 triangles)
Damn, thought I had 9 tris for a minuet there... only to realise three of the tris were actually quads :(
Me too.
Robin Powell Same, I was all excited so I played the video, then I realized what you did! Arg, it has been spoiled now.
Robin Powell I got 9
I'm not good with equations, but this video is done really well. It's like you've intentionally distracted us with math and equations while we are trying to solve the main question you gave us.
At 3:50 if I had that question on a test I would’ve put C^2. Would’ve never read the full question and would’ve thought they wanted the Pythagorean Theorem lol.
That's just writing the formula?
5:00
This is when the video topic *starts* getting discussed.
Regarding the triangle problem, I was going through all kinds of different configurations in my head, with the assumption that there should ONLY be 9 non-overlapping triangles, no other shapes, and came to the conclusion I couldn't figure it out. But of course it doesn't say ONLY triangles.
I figured since the initial shape was symmetrical, the 3 lines should also be placed in a symmetrical configuration. I did think of this solution, but assumed I was wrong.
I love these kinds of problems, especially when the solution is much simpler than you initially assume.
I was to busy trying to use up ALL of the M.. and didnt accept any attempts that left quads/pentagons.. godamn it
+Rodjar Van Buuren YTou can still have a solution without quads/pentagons. It's the case when all 3 lines intersect at a point such that 2 of the lines connect each pair of opposite corners.
My solution didn't have any quads or pentagons
Me who didn't realise you were meant to add 3 lines to the M, and just tried to form 9 triangles with 3 lines-
I tried to draw the problem out and did figure out the first two lines would produce the most triangles. Absolutely did not think of drawing a horizontal line through the whole thing and was trying to draw it off another point in the figure.
4:20 I thought the answer was the Pythagoras theorem. a squared + b squared = c squared.
Geno I mean, you could do that, but then you'd end up with an out of place c^2, and you'd still have to think to add the equations.
took me about 10 minutes to solve it =) ...but i drew the third line on top of the X, creating two triangles outside the M
WANTED91x ahhh thinking outside the triangle nice
Ooh, I had a similar answer for the triangle one and mine's technically not incorrect depending on how the instructions are phrased. Using Dr Frink's image, starting from the bottom left line, I drew a line diagonally up to connect to the top-right arch of the M, but kept going to the end of the paper. Then I did so for the bottom right line, mirroring the previous by connecting it to the top-left arch of the M and again going until the end of the paper. Then a horizontal line that goes through the middle diamond to both ends.
This creates 8 non-overlapping triangles using the M, but also a 9th non-overlapping triangle using two edges of the drawn lines as well as the edge of the paper/canvas it's all drawn on.
If the instruction was to create 9 non-overlapping triangles only with the M, then I'm incorrect, but to construct it over the diagram and I'm technically not wrong, lol
Interesting puzzle!
was searching for someone else who did this
i got this solution in under a minute and was pleasantly surprised that it wasn't the one in the video (which would've taken me a bit longer after being told i cheated lol)
I got 1 triangle after 3 years of trying this puzzle
I got the M thing! you draw two diagonal lines that traverse the M and then a horizontal line that crosses the point of intersection
Oh, wait, you mean the sides can't be TOUCHING either?
+Michael S Well, it only ended up making 8 anyway
+Michael S I think it means overlapping as in one triangle can't be inside another. Doesn't say anything about them be adjacent. I think if you made that a rule, the answer would actually be easier to find.
Missed Lethal If only I'd lowered my diagonal lines a bit, I probably could have gotten the answer. Still, 8's not bad
the more of these things i understand, the sadder i am due to the fact im so much older than i realized
like 5 years ago these things would just be like the "hard math stock image", now i kinda understand them and if i werent so lazy i would probably solve them.
The best I got was 8. I assumed triangles were the only shape allowed, so I didn't continue with any diagram in which there was another shape :/
Stupid
+Jackson Percy never ever assume some restriction with these problems. If your solution gets discarded then make your case that it should have been said in the question.
Aleš Balon Thanks for the advice! I'll try to remember that for future puzzles :)
It took me a minute or two. I'm sorry, but I don't see how this could be difficult. I do love math though.
Thanks for taking the time to deconstruct every problem on the video. It's always good to see people walking the extra mile to both make coherent and smart jokes in their media, and other people who thoroughly deconstruct them. Great video!
P.S.: Got the solution for the triangles in 1:20 minutes flat. Get on my level bruh.
This video tells me that o should revise for my test tomorrow.
I’m not.
But I should.
1+1=(1+1-0+0)*1/1+(1-1)*2/2+2828-2828=(2-0)*1/(1+0)*2/2+2828-2828=2
1:27 PEDMAS
(5-(6-7(2-6)+2))+4
(5-(6-7 (-4)+2))+4
(5-(6- -28+2))+4
(5-(6+28+2))+4
(5-(36))+4
-31+4
-27
amanda cabrera PEMDAS*
Or bidmas or Bodmas or bemdas or bedmas. It doesnt really matter what you call it.
FGV Cosmic yes it does it's pemdas because school told us so duh
@@RatRatRattyRatRat it's the same thing
I was so confused for the longest time. I didn't realize those were brackets and not absolute value. I thought I was getting trolled haha.
There's actually another solution to the "M Triangle" puzzle if you think outside the box.
1) Create a line from the bottom-left of the "M" and extend to the top-right.
2) Create another line from the opposite points.
3) Draw a horizontal line through the two middle corners of the diamond-like shape in the middle, extending through both of the other triangles.
Where does the 9th triangle come from? Well, if the first and second lines extend from the peaks of the "M" to the edge of the page they'll create a 9th triangle because, even in the example picture, the line will not go past the corner. Thus, the edge of the page becomes the final line of a final triangle.
It's kind of cheating but I think it counts.
I got it in my second try, I normally suck at problems like this, so I am proud ^_^
OMG OMG OMG I solved the triangle puzzle! :3
I feel like i've heard of this puzzle before, and i could see the solution before you explained it, but god this melted my brain the first time i heard about it! xD
When you want ro solve a math problem and accidentally create the Israel flag
0:01 Ok so that's Presh Talwaker
I actually got to 10 by drawing a line connecting each top point of the M with its opposite bottom M point, and then drawing a line horizontally in the middle. Really fun puzzle
?what u cant get 10 max is 9
Where can I watch the episode?
+Gary Lu On the TV?
+Gary Lu Putlocker
+Gary Lu Download it from torrent sites like Pirate Bay, Kickass Torrents, or RarBG. Don't use those horrible low quality streaming sites, as they're full of viruses and spam ads.
+Gary Lu watchcartoononline
+Gary Lu On TV.
Nice pentagram, would r8 9/11
I paused the video, tried for about half an hour, and managed to get it! I then continued this video and was delighted to find my solution was identical!
The solution draws an inverted pentagram in the middle because Satan is always the answer
I did it in like 3 seconds. Good job stretching a 3 second video into a 7 minutes. Glad I didn't waste any of my life actually watching it.
It feels good to solve some of these and feel like a genius for a hot 2 seconds.
I easily got 9 after a little fiddling. It was pretty simple after remembering that a star has five triangles already, so I only needed to go for an upside-down star in the middle and then four other small ones.
this is the nerdiest video I've ever seen and I absolutely love it. keep it up my man
4:19 you don't need the 2ab there, expanding it would change (a+b)²=25 to a²+b²=25
WOOOO! AFTER AN HOUR AND A HALF I FINALLY GOT IT.
I resorted to tossing out the method that got me to 8 triangles and base everything around the center piece and after 10 or so minutes it clicked when I moved a center line down, making the 7 triangle configuration into a 9 one!
This is one of those problems where you don't want to think too methodically. I failed to solve it by trying a more thought out approach, and then solved it casually another day by simply trying different things.
Okay, I guess I needed more info to do the puzzle. I assumed no other shapes could be made when making the 9 triangles, but that was allowed and I wasn't sure what they meant by overlapping. I wasn't sure if they couldn't share a side or if it meant you couldn't divide one large triangle with a line, making 2 triangles inside it, counting the 2 small triangles and the larger one that contained them as 3.
I don’t know how, seriously, but I definitely figured this out without even watching the video before hand. I’ve learned to “think outside the box” with these and just guessed random lines, cool to see I guessed it right!
Complex equations on the big board, big board shows impossible ways to display Springfield having scored 1 point, which a 7-segment display cannot do. They also messed up Wavery Hills' 2 points.
Irony.
What is meant by “non overlapping triangles”? “Overlapping” means two shapes occupying the same space, as far as I can tell you can’t make them overlap even if you try so I think I solved it in 30 second.
I'm thinking that to get that many triangles with only 3 lines, they have to be drawn on some extremely weirdly shaped surface, probably with more than 3 dimensions which would make it impossible to visualise.
EDIT: Oh, you can use the M shape. Okay, that makes it easier.
This is the only one of your videos that I actually did by myself.
When Nostradamus becomes Pythagoras you come up with Simpsons .
4:28 after knowing the answer, what solutions for a and b are possible? a²+b²=35 | (a+b)²=25. Are there any?
Same question for 4:40, x+4y=5 | 3x+5y=6 | 5x+6y=7, then 2x+y=1, but is there an answer what numbers x and y can be?
I actually got this in about 6 minutes and I was very proud of myself. Also one of my maths teachers had that Pi joke on her wall and it took me ages to solve it but when I did it was hilarious
Yes, I totally understand all of these solutions because I definitely paid attention all throughout my high school math classes, absolutely
I got annoyed, but ultimately had a laugh at how close I was. I got up to eight non-intersecting triangles, but your answer showed that the last line you placed was ultimately where I mis-placed mine.
It's 3 am and this is what I'm watching.
That question about the order of operations wasn't very order of operations-y, was it? Just parentheses that you couldn't do anything with without solving them first and numbers adding and subtracting. It's basically "do you know what parentheses are"
Simpsons is the only show that is so accurate, they can predict the future.
Came for a puzzle, got early high school math questions
crazy, I got the puzzle first try... welp, there goes all my enthusiasm
I got 10 non-overlapping triangles when I tried the puzzle
Actually I would like to point out as a strict test fundamental, if we were to take the exact phrasing of the test question, for the triangles, it would be impossible. "Drawing 3 straight lines, construct 9 non-overlapping triangles." Does not mention drawing over-top of the existing diagram whatsoever. So if you were to literally, strictly, follow the linguistics of the question, the only possible answer is "this is impossible". In order for the actual question to make sense it would require being to the effect of "By drawing 3 straight lines, over top of this [below] diagram, construct 9 non-overlapping triangles". Many tests use linguistic traps to create smokescreens and distractions for those answering the test, and this includes omission. If this were on a test, I would actually write "this is impossible" and challenge the teacher/professor on the literal aspects of the test. I don't think this aspect has been taken into consideration here.
🤓
@@ob_stacle Well considering the video is about accuracy...