Area Of A Non-Right Angle Triangle
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- Опубліковано 21 сер 2024
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Question: Find The Area Of A Non Right Angled Triangle
- In This Maths Video Tutorial Spiro K Explains And Demonstrates The Solution Of Finding The Area Of A Non Right Angled Triangle
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A teacher couldn't teach me this over two weeks. You taught me in 5 minutes. Why isn't America bleeding its finances over to this guy.
DrDelicious70
wtf
Because America likes to defund the education system
cause he’s australian
Did u graduate
You have saved me from failing geometry. Thank you
Hey!
thats right but if we solve it from half base into height that also be correct exact 14 sq. cm
if we costruct a triangle like this as i do by taking 8cms of base and from base creating a 30 deg. angle and make arc of 7 cms and complete the triangle then we draw a height very cleverly with the help of all main rules
then we get exact height of 3.5cms and apply half b.h rule then on calculating 1\2*8*3.5=14 sq cms
this means it is also correct
i have drawn exactly same triangle as you.
But if you think from an angle
just on the triangle you made drop an height name it h
given -
angle b = 30 deg.
c=7cms
a=8cms
you said
ar(ABC)=1\2*a*c*sinB - equation 1
( in triangle formed by droping height which has a side of h , c and some part of side a we got it as a right angle triangle
here,
sin(B)=opposite side(h)\hypotenuse(c)
sin(B)=h\c)
putting value of sin(B) in equation 1 we get
ar(ABC)=(a*c*h)\(c*2)
ar(ABC)=(a*c)\2
or
ar(ABC)=1\2*a*c
which is eventually half base into height
*trigonometry
Hey mate. Its trigonometry not geometry
Good video. Although, if I am to be picky, the Area=(1/2)(base)(height) DOES work for all triangles, but finding the height is an extra step if it isn't a right triangle. The Area=(1/2)*a*b*sin(C) calculates the height within the formula.
Thank You so MUCH!!! You are the BEST at explaining and you work through every step making it easy to understand! Thank you so much. Keep up the good work!!!
This channel is AWESOME!!! It made my maths so easy!!! Thank you Vivid maths!!
Thanks! Happy to hear we could help :)
So it's basically 1/2ab x sin(angle?
Yes, but the two sides next to the angle given, so not always ab.
Good question! All you have to do is first use the sine rule to find another side.( to use sine rule you need 2 angles and one side) . Now you have two sides, so you can use the above formula to find the area, hope that helps. :)
How do u .do this without. Measuring
Chris Madden really?
@Zaara Khan u wont need this until 9th grade+ (i think)
same thing
you can use the formula 1/2 bh for any triangle that is quite misleading
great diagrams i can definetely learn from this, keep uploading!!!!
wish i had a teatcher like you when i was young great job sir
damn this is teacher is lit 🙌🙏🙌
I dont understand this
Hey!
thats right but if we solve it from half base into height that also be correct exact 14 sq. cm
if we costruct a triangle like this as i do by taking 8cms of base and from base creating a 30 deg. angle and make arc of 7 cms and complete the triangle then we draw a height very cleverly with the help of all main rules
then we get exact height of 3.5cms and apply half b.h rule then on calculating 1\2*8*3.5=14 sq cms
this means it is also correct
i have drawn exactly same triangle as you.
But if you think from an angle
just on the triangle you made drop an height name it h
given -
angle b = 30 deg.
c=7cms
a=8cms
you said
ar(ABC)=1\2*a*c*sinB - equation 1
( in triangle formed by droping height which has a side of h , c and some part of side a we got it as a right angle triangle
here,
sin(B)=opposite side(h)\hypotenuse(c)
sin(B)=h\c)
putting value of sin(B) in equation 1 we get
ar(ABC)=(a*c*h)\(c*2)
ar(ABC)=(a*c)\2
or
ar(ABC)=1\2*a*c
which is eventually half base into height
Stop skipping English
This helped me ace my test! Thanks, man!
Thank you so so much this vidio should have got so many more likes 10 years late
thank you so much my teacher never explained the formula used to calculate the area of a non right angled triangle,now I known how to do it .THANK YOU
great video; teaches complex subjects in a simple manner!
Thank you so much !! I really understand it
THANK U SO MUCH U SAVED ME FROM MY REVIEW OF LONG TEST!!! I USED LAW OF SINES THEN DOING 1/2abSinC then the answer wasn't in the choices! It was just 1/2acSinB!!!!THANM U SO MUCH DUDE
thank you
Thank you so much!
Very helpful! Thank you!
bro this guy is the perfect teacher
I am in 8th grade, and I don't understand sin and the formula, but helped me lil' bit.
you dont even learn trigonometry in 8th grade -_-
iTrickz Not if you're in high honors math, then you can. It sucks
Whether you learn it in school or not, you should still learn a bit of trig, it'll help you later in school. The sin of an angle is nothing but the opposite side to the angle over the hypotenuse.
SAME
Regarding my previous comment: I really do not know how/where I learned it, but I use it and it always work. I only need to measure 3 sides... Disregarding angles and h.
Let me know where this came from, because to be honest I do not know.
I just know it works when I use it.
A=square root of S . (S-a) . (S-b) . (S-c)
where S is = (a+b+c) / 2
you have saved my math test for tomorrow! thank you!
nothing new same way same thing
Thank You!!!
Thanks to you I got an A in my last test
clear and concise ...thanks
This can help my students Thanks
I converted your degrees to radians because my calculator works in radians. I got 0.5 :) Wonderful video. If only there were more people like you.
Guys what you have to do is split the triangle in half to get a right angled triangle with a base of 4 , hypotenuse of 7 and a mystery height . Then you have to take away base squared by hypotenuse squared to get height squared which you then square root to get the height , times this by the original base et voila , the area ! Hop this helped .
Thanks a lot for being so detailed,
Can i ask 2 things???
1. Can i divide this equilateral triangle from center and then calculate it as right angle triangle??
2. Can i write the formula as A=1/2absin??
Looking ahead for your kind guidance
No 1 : you can't do that unless you know that angle C is also 30 , which means angle A is 120 . So use you protractor to find the centre/ middle of 120 and draw a straight line down to the bottom from that point.
No 2: no you cannot write it like that
U r better at teaching this then my 3rd grade teacher!
I swear this really helped me got an exam today at 9
Hey!
thats right but if we solve it from half base into height that also be correct exact 14 sq. cm
if we costruct a triangle like this as i do by taking 8cms of base and from base creating a 30 deg. angle and make arc of 7 cms and complete the triangle then we draw a height very cleverly with the help of all main rules
then we get exact height of 3.5cms and apply half b.h rule then on calculating 1\2*8*3.5=14 sq cms
this means it is also correct
i have drawn exactly same triangle as you.
But if you think from an angle
just on the triangle you made drop an height name it h
given -
angle b = 30 deg.
c=7cms
a=8cms
you said
ar(ABC)=1\2*a*c*sinB - equation 1
( in triangle formed by droping height which has a side of h , c and some part of side a we got it as a right angle triangle
here,
sin(B)=opposite side(h)\hypotenuse(c)
sin(B)=h\c)
putting value of sin(B) in equation 1 we get
ar(ABC)=(a*c*h)\(c*2)
ar(ABC)=(a*c)\2
or
ar(ABC)=1\2*a*c
which is eventually half base into height
please note my comment.
thanks
This video has saved my life
Hi, i need to draw any angle just with pencil, i wonder if there is a technique that can help me to develop my eyes for that?...i ask for that because i learn drawing and this can help me a lot...thank you.
That's impossible without a built-on protractor.
Thanks
Good coverage
Thank you very much, Great video, helped a lot
My guy could've just said 7x8x0.25
you would still get the same answer
Thanks alot
Clear
U saved me a lot, thank you
Thank you .Tanri sizden razi olsun :)
Hi and thank you for the explanation.
I don’t understand what the purpose of the degree is if it isn’t taken into account.
Like you said .5 divide by 56 divide by .5
The 30 degree angle does not come into account.
So what will the purpose of knowing the degree achieve?
sin (30°) gives you the 1/2 or the 0.5 respectively. If there was an angle of 60° instead, sin (60°) would give you 0.866 instead of 0.5. So, the angle matters! If the angle was 90°, then sin (90°) would be 1 and you would end up with A = 0.5 * base * height.
Thank you so much
You're most welcome
wow best teacher...
thank you this helped me on my homework
Thankyou, very helpful
thank you for your help
nice way to teach. 😊i like it
nothing new same thing
يا عيني عليك .. يا وحش 👍👍👍
Well explained,well done👍🏼
Why there no one is arguing that the formula 1/2xbxh
is not the applied to the formula of the area of the right-angle triangle? I have learned that the area of the non-right angle triangle can be calculated using that formula (1/2xbxh) and this goes completely opposite of that guy in the vid saying that you can’t.
This is very helpful
man I love this
Life saver
Can't you just cut it half and use 4 as the base and use Pythagorean theorem to find the height, then find the area of one triangle and multiply it by 2
Davisgames no because that’s assuming the triangle is isosceles
awesome! thanks!
but does is it just me or does it sound like he has a mix between a Russian accent and and Australian accent?
whysoseriouslycool yeah he definitely does .
he sounds Greek Australian
New Zealand fs, fairly unknown accent sounds a lot like Australian but it’s got its own personality. Probably one of my favourite accents but yea pretty sure that’s it
You saved my life from my teacher 😅😊BTW I understand that you
wow, he makes this seem like a joke
thank you :)
if i make it right angle triangle by sketching imaginary line half the base and find side ( height) will that work as height of a triangle???
Big brain teacher
You are actually just
Amazing
That’s not a right sided triangle, and therefore that’s the wrong formula. Easiest thing to do is split it into 2 right sided triangles, you already calculated the area under one (18) now you need to calculate the area under the second (3). Total is 21.
how do we a triangle with given 2 angles the lenghts are given perpendicular to that angles.
Bruh u saved me thank you so much
ok dude... got ya!! but at the end [ why cm^2 square ] ?
nothing new
Area is measured in in cm, m, km... Squared, cause you can't measure area with lines (Which are measure in normal units, no squared or cubed), also because the base and height are both in cm and multiplying a cm with a cm gives a cm^2.
Nice
Lovely!!!
I like this formula but i couldn't find your website. is it active or not???
I understand that maths is good for me
Good
What do you do if u have 2 angles and 1 side then
The area of a triangle is A=mc2illuminati
im watching this in the middle of a geo test
did you pass?
I find it easier to relabel the triangle rather that change the formula
1/2 x base x height: 😆😆😆
1/2 x base ….no height: 😧😧😭😭😭
WHAT
I've watched this three times and I'm still too stupid to follow! 😂
same😭
seriously? what part is hard to understand? (not being a dick, merely asking)
does this work to an obtuse triangle???
If two angles are give how to we know which angle is Sin C?
Yousra the angle your trying to find is the sinC, but if your not trying to find an angle but a side, then you need to use one of the two given angles inside the two sides (in these sides there is the one you need to find)
What is the value of B
Should not have use A in number triangle and also using it for area.
I watched 3 tomes and I still cant follow
plz tell me what those the sin do
could you plz and say it's for which grade I'm grade 6 but I still understand it except the sin what does it do
Unless you're in advanced math, Trigonometry is usually taught in sophomore year (grade 10) in America. I'm a freshman (grade 9), and taking Honors GST (Geometry, Statistics & Trigonometry). The sine is a key on a graphing calculator that helps to find the missing hypotenuse (the longest side) or missing leg (one of the other two sides) on a triangle. You would usually use sine by setting it equal to the opposite side of its angle to the hypotenuse.
In other words, sine(angle)=opposite side/hypotenuse
There are also tangent and cosine, which are the other main keys used in this function of trigonometry.
Tangent's formula goes like this: tan(angle)=leg opposite to angle/other leg
Cosine's formula goes like this: cos(angle)=adjacent leg/hypotenuse
The other thing you can do with these signs is find the angles with only two of the triangle's sides. To do this, you input the sides like you did before, in fraction form. Then, you use the 2nd key at the top left of your calculator and press whichever button corresponds to the angle you want to find. If one of the measures of the triangle is a decimal, then you can divide them and do the same thing afterwards.
3/4->2nd->sin will work the same as .75->2nd->sin
In math, when you use the 2nd button in this instance, it will be referred to as any three of the buttons with a negative one on the top right, in the same place as when something is squared, like 6 squared is 36. (The 2 would be on the top right of the six.)
For example:
EQUATION: sinX=opposite side/hypotenuse
BUTTONS IN ORDER: opposite side/hypotenuse->2nd->sin
You would do the same thing with cosine or tangent, but using 2nd->cos or 2nd->tan instead.
Adjacent means the leg right next to the angle that is not the hypotenuse, if you didn't know. If you're really interested in math, I suggest you study what you have right now in class so you can get into higher math faster. I do recommend you bookmark this video, because this part of trigonometry is easy to forget. If you have any questions, don't hesitate to ask!
niceee
Pls how do you got that sin 30 in calculator as 1/2, i want to know pls. ?
Switch your calculator to degree mode, and calculate sine of 30 degrees. Or translate 30 degrees to pi/6 radians and use radians accordingly.
What if the angle is not given
What he did in 2:15
um what if there was no base ?
Arrrggg!!! took 2 mintes to tell us!
heeyyyyyyyyyy, I'm not failing anymore.
I wish this was my math teacher omg
A teacher will teach this subject for week
He teaches this in 5 min and also some jokes
What if you're not given a degree of an angle?
Kian Krashesky use Heron’s formula
Who will explain the reason
What abt perimeter?
Just add all the sides. To get the 3rd side, you can do Sine of the angle your given is equal to opposite side over hypotenuse and solve for it.
herons formula