Pythagorean theorem proof using similarity | Geometry | Khan Academy
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- Опубликовано: 3 окт 2011
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Proof of the Pythagorean Theorem using similarity
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![Pythagoras Would Be Proud: High School Students' New Proof of the Pythagorean Theorem [TRIGONOMETRY]](/img/1.gif)
Your lecture on Pythagorean Theorem is pristine.Thanks a million.
why do you add the two equations?
Brilliant! I can't pause or re-wind my teacher, but I can to you! Thank you! liked, Favorited and subscribed until further notice.
How's life 9 years later
@@alexmisra6690 Lmaoooooo 😂😂
are you a math genius now
@@niqalina no further notice has been received
You can pause your teacher
If u have a gun
You confused the shit out of me
I wish I had these lectures when I was in school. My maths scores would be completely different.
I had learned Pythagorean Theorem last year in middle school but no one teach me why a^2+b^2=c^2
yr teaching is easy to understand
thx a lot~!
Do you still remember this lesson? 😆
I love learning from you, fellow Khan here.
Does anyone know why he split the triangle into three ? I understand the gist but don’t understand why he used cos aswell
And it seems in many schools, teachers suffice themselves with teaching you how to solve a problem without telling you why that works. And I personally believe retention is better attaned when one nows why something works just as much as when they learn how to do the something.
Very truly
Thqs helped me a lot..
Day before my math exam, didn't learn this thank you some much. Some hero just don't wear capes.
How did you do?
We're learning about geometry in class now, and we are at a sub-chapter about just this. I didn't understand it in class, but now i did! Thanks :D
So how’s life?
Thank you khan academy
That was awesome!
great video, even clearer if you were to draw the 3 triangles
We have to prove that except that we also have to prove the triangles similar.
Sal, when you were young did you figure this out for yourself? Because I was never able to figure this out, you just showed me. Thanks
oh man thank you so much!
Can i know which software do you use to make these videos?
how did you know to add a² = cd and b² = ce? adding those two equations seems totally arbitrary to me and i don't understand why.
THANK YOU
Very nice proving❤
THANK YOU!
That works great
why did you add a^2 = cd and b^2 = ce together?
To get to the proof. He's allowed as they're ratios of the same triangle.
thank you
thank you verrrrrrrry much
Thank you sir
what is given and what do you prove?
Mohd Abuzar nice video 👍
i always mistaken the hypotenuse with hypothalamus :(
what is this sftwre you are using called?
brillant
At 8:50 mind=blown.... How come I didn't learn this in school? I mean we used pythagorean theorem, but we had no idea what it really was.
Because the 2 smaller similar triangles make up the big triangle
I was just about to post this.
anyone can find the khanacademy abaout fractals?
BE MY TEACHER!
I LIKE TURTLES EVERYONE!
u r awesome dude
Can you do a video about venn perplexor?
My daughter is the gifted 5th grade class and is having a tiny problem with it.
@Fatheena 5+7=12
if you read all theas letters out loud that is how i am feeling
Amount of subscribers and amount of likes don't match
cos there is too much video for all the subs
Most watch the videos on their site as they are embedded over there. For example this, looks like this www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-proofs/v/pythagorean-theorem-proof-using-similarity
😀😀😇😇😇
Afzal Alam roll no 23 nice video👌👌👌
Suhail saifi roll no 24 nice video
mind f'ed.
FOURTEENTH COMMENT! Do you like italian food?
😑
FIFTEENTH COMMENT! I like turtles
🤔💔⁉
KITTEN!!!!!!!!!!!!!!!!!!!!!
this is not a prove this is a example that shows the assumption is correct. prove should be showing how it is possible and why is it . Pythagorean theorem is still one theory that has no prove just like PI.
I might doubt that. Pythagorean theorem has many proof including one consisting of using the proportionality of sides and formulae to calculate their squares
no dude there are many many proofs of this theorem depending on what assumptions you're willing to take
Ranga Nanayakkara this is a proof
no arguments with anyone who doesn't understand differences between why and true
Let there be a right triangle with sides of length a, b and c with c being the hypotenuse, then it holds that a^2 + b^2 = c^2.
Proof.
The one in the video since it can be applied to any right triangle.
I think you don't understand the way mathematical proofs work
THAT PROOF WAS CREATED BY EINSTEIN!!!!