Find the Equation of a Perpendicular Bisector in Triangle

[@itzknight]

Thanks man, my teacher (10th grade) talks too fast and i can never understand, i was falling behind but thanks to you im back to a good grade , I just want to really thank you :D

[@jestnumba2948]

same bruh

[@MrKomplicated]

Same

[@JoyStickJackGaming]

Did you pass? How’s college or a job?

[@dannyyung5329]

lol same

[@RDOROCKS]

Agreed 😭

[@kboisss]

11 years later and this saved me from a second mental breakdown

[@djnechodom]

Glad its still helpful.

[@djnechodom]

Yeah, super old, but still works. M should be the midpoint of side AB.

[@newmagicwands]

dan you are fr the goat thank you for being there 4 me when nobody else would 😻

[@astalope]

You're a great teacher! Saved me from not doing my project! Thanks a lot!

[@djnechodom]

Dimitri, I agree it can seem pretty mysterious. The people who created it are the same type of people who created music. They noticed certain patterns and realized that by taking advantage of those patterns, you could accomplish certain tasks easier. Usually, though, people who noticed and took advantage of patterns in sound were doing so to entertain or soothe people, where people who work with numerical patterns are doing so to make certain tasks (building, business, etc.) easier.

[@djnechodom]

It's a tough job, believe me. It's easy for me to look like a great teacher when I post a 5 minute video that I took 30 minutes preparing. On a daily basis, I'm sure I have students who hate me, too. Give them a break and do the best you can to treat them like you'd like to be treated.

[@djnechodom]

Dang! I didn't catch this until I published. It's side AB, not side AM.

[@MadiLovesDomo]

I HATE MY GEOMETRY TEACHER! This was a life saver

[@MrOctane3]

Great video

[@victorpeng5531]

2019?

[@djnechodom]

No, pretty old, but still works the same way. ;-)

[@JohnnyMills123]

THANK U! You just saved me 2 hours of book research

[@AlyssaSasser-sr8ke]

Thank you so much!! This was VERY helpful. 😊

[@djnechodom]

Well, don't fault your textbook or your teacher too much. It's always nice to see how things develop in real time instead of just looking at them on the page. And you can easily pause my video, where it's tougher to do that with your teacher.

[@chopstickslover]

man thx so much u did the best job ever!!! u saved my tests and exams and homework. my teachers barely tell us what to do and u told everything we need thank u!!!!!!! :DDDDD

[@djnechodom]

Mario, you had a question regarding a different video, but the 'reply' option is not taking me to your comment. Here's the question: "I thought that the median was never a right angle ( or perpendicular to point BC) . My teacher told me that it just bisects it. "
The median CAN intersect the side at a right angle, but don't plan on it. It will only do so if it is connected to the vertex angle in an isosceles triangle (your teacher might ask you to prove that some time.)

[@tahoomalik91]

WOAH! Man its exactly what I wanted.. Your English was clear and your maths is outstanding.. tomorrow is my quiz and u helped me a lot.. thanks buddy!

[@djnechodom]

OK good, Rifleman. Good luck on your quiz tomorrow. I've got a couple of other related videos up if you need them, like finding eq for an altitude or a median.

[@IncarnateLove]

Thank you so much ! You're a great teacher

[@paulkouri7786]

Thank you Sir, you seem like a good man.

[@djnechodom]

RespawnBros, I've never heard of it being called a 'right bisector,' but that doesn't mean you're incorrect. That may be the term for it where you live. Mario is correct, given that 'right' refers to angles that are 90 degrees, it's reasonable to call it that.

[@aminnazari7367]

Ik this is really late, but god bless your soul good sir!

[@djnechodom]

Glad I could help, Ninja

[@Standard-Gamer]

I know this is an old video, but I'm currently struggling in math, so this is very helpful. Thanks!

[@djnechodom]

The nice thing about math is that it doesn't change a lot. I'm glad the video is still helpful. Best of luck, and if there is anything I can clarify, comment again and I'll try to help you. Not only is this what I do for a living but I really enjoy it as well.

[@Standard-Gamer]

Your explanations are very clear and concise. During school, there's only so much time in one class and the lesson moves pretty fast, so this is a nice change of pace. I've just started learning about this as well, so it's very useful.

[@djnechodom]

Sure. Change the 4 into 8/2. Then add 9/2 to both sides of the equation to get the y-intercept (what's going to be in the box) by itself. 8/2 plus 9/2 is 17/2, which is equivalent to 8 1/2. Good luck.

[@RayBearGoesDur]

Very Helpful thanks sooo much

[@snaworld209]

Again, this is an AMAZING video, im subbing! please bring me more! im doing grade 11 functions next year!

[@donotinteract]

Thank you so much!

[@brian7168342]

You're a saint.

[@selenae9272]

lol this is super old but where is the side AM in triangle ABC??

[@nathaliehernandez8952]

his voice aggravates me

[@djnechodom]

Not much I can doo about that. But if I can clarify anything for you about the math, let me know. I'll reply using text to minimize annoyance.

[@allblackcoupe2128]

@@djnechodom wow this was released 9 almost 10 years ago and youre still responding to comments. mad respect sir.

[@djnechodom]

Well I'd like to think it's because I'm a nice guy who wants to help people. More likely though it's because I lead a boring life!

[@djnechodom]

@Ibrahim Sohaib My pleasure

[@aidangreenlaw6280]

Thank you very much sir

[@gitchygitchy123]

can you please be my math teacher, my current one sucks and gives us lectures in grade 9

[@mhmeekk3003]

You're great brother.

[@todayjanuary2012]

omg thank you thank you thank you!! this is great right before exams!! i was soo stumped! i had no clue of how to do this! again thank you! :)

[@aidan325]

you the GOAT thanks bruh

[@Airjordany2k]

Hello, I find your videos very useful so thank you for helping us.

[@s8erboi7987658]

perpendicular lines intersect at 90 degrees so yes it is the same

[@jonmaco5248]

Thank god for u i have a take home quiz in geometry and now im gonna ace it!

[@joannajiao656]

thank you dan

[@rob4canada1]

Thanks! Helped a lot!

[@ZachVMNTX1]

You Rock!

[@Ram-tj8mv]

tnx man you helped me out with the differences in altitude line and perpendicular line right before my exams lol

[@besmaserrai1151]

THANK YOU

[@RSLS1234]

Good vid pal

[@kylewowry5356]

You the GOAT

[@djnechodom]

Kyle Wowry Nah, that title belongs to much greater than I.

[@kimseokjin7526]

Thank u

[@PouriaZhr]

Algebraically will the answer be y=-3/2x -0.5

[@ItsTheETG]

This video saved me

[@falpinn]

Thank you so much.

[@wayuphighify]

BE
MY
GEOMETRY
TEACHER.
PLEASE.

[@olivia-hd9kn]

bro ur a lifesaver fr

[@TheFuckinghumanity]

Tell me if I did it right. find the equation of the perpendicular bisector of ZT in triangle ZIT. Z(-2,7) I(7,12) T(10,3). I got y=3+-7. Please respond quick.

[@djnechodom]

Midpoint of ZT is (4,5). (Average the x-coords and the y-coords)
Slope of ZT is 4/-12 = -1/3, so slope of perp bisector is 3.
For perp bisector, y = 3x + b. Sub in (4,5) for x and y, 5 = 3(4) + b, making b = -7. So, yup, y = 3x - 7. Sorry I couldn't respond faster.

[@chadproductions3478]

Thanks a lot

[@sillygoose1710]

ok... ok... at least now i know what they are lol, thanks :)

[@ActBeLive]

THANK YOU SOOO MUCH!!!!

[@mayarose7625]

PRAISE YOU

[@mhmeekk3003]

Bless*, praises only be to God

[@dimitrilorel4739]

dafuq who created math.but thanks bro for the help

[@juanvalles3230]

how the hell he get 8 1/2

[@djnechodom]

In the video, I explained that 8 1/2 is how far you have to go from -4 1/2 to 4. Why did I say that? Well, let's review: We figured out that the equation would look like y = -3/2x + b (I used a box for b in the video). To find the value of b, we knew that the line was supposed to go through the midpoint, which is (3,4). We substituted the x and y coordinates in for x and y in the equation: 4 = -3/2 * 3 + b, which simplifies to 4 = -9/2 + b. So now we're trying to find out what number (b) should you add to -4 1/2 (or -9/2) to equal 4. Another way to think of it is to solve for b by adding 9/2 to both sides. On the right side it cancels with the -9/2, leaving just b. On the left side, 4 + 9/2 = 4 + 4 1/2 = 8 1/2.
I hope that helped. If not, write to me directly at dann (at) daytonsd.org and I'll see if I can come up with a different look at it.

[@juanvalles3230]

Thanks for the explanations, and your really good on looking at comments keep up the good work.

[@ednallande1146]

hi, is right bisector the same as perpendicular bisector?

[@djnechodom]

I assume it is. That's not the term we use here in the US, but we do use the word 'right' to represent a 90 degree angle.

[@aidan325]

yes it is because it is supposed to form a right angle to the midpoint or some stuff along the lines of that

[@Tomfoolery127]

Love you

[@eyashanbali2601]

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[@eyashanbali2601]

ur welcome

[@DanNechodom]

Heaven767, I'm happy to help you, but I'm not sure I know what you're asking. Are x, y and z just general points and you're looking for a formula for where you can drop in the coordinates of all three points and get the 3 perpendicular bisectors? (This would be a monumental task that I would only take on in my nerdiest moments.). Feel free to email me at my school address: dann (at) daytonsd.org and I'll help you. Dan

[@alexmcleod2529]

THANK YOU