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.
Simple answer is: we want to prove a² + b² = c² . So it makes sense to sum a² and b² to see what it equals to. But what if you dont know the formula already? Part of the mathematician's job is to notice certain patterns, and then *conjecture* a general statement to then try to prove it. In the case of the pythagorean theorem. The relationship a² +b² = c² was known to work for a lot right triangles, and sure enough it was proven to be true for *all* of them
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
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
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
Your lecture on Pythagorean Theorem is pristine.Thanks a million.
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
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 wish I had these lectures when I was in school. My maths scores would be completely different.
I love learning from you, fellow Khan here.
why do you add the two equations?
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
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?
Day before my math exam, didn't learn this thank you some much. Some hero just don't wear capes.
How did you do?
You confused the shit out of me
Thank you khan academy
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
THANK YOU!
great video, even clearer if you were to draw the 3 triangles
Very nice proving❤
Does anyone know why he split the triangle into three ? I understand the gist but don’t understand why he used cos aswell
oh man thank you so much!
Can i know which software do you use to make these videos?
Thqs helped me a lot..
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.
Mohd Abuzar nice video 👍
what is this sftwre you are using called?
thank you verrrrrrrry much
thank you
We have to prove that except that we also have to prove the triangles similar.
Heres a typical math textbook answer: The triangles similarity is trivial/easy to see/obvious/immediate. So the proof wasn't mentioned
brillant
That was awesome!
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.
That works great
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.
Simple answer is: we want to prove a² + b² = c² . So it makes sense to sum a² and b² to see what it equals to. But what if you dont know the formula already? Part of the mathematician's job is to notice certain patterns, and then *conjecture* a general statement to then try to prove it. In the case of the pythagorean theorem. The relationship a² +b² = c² was known to work for a lot right triangles, and sure enough it was proven to be true for *all* of them
what is given and what do you prove?
Given: ABC is an arbitrary right triangle, with sides a b, and c being the opposite side of the right angle. What was proven: a² + b² = c²
i always mistaken the hypotenuse with hypothalamus :(
Because the 2 smaller similar triangles make up the big triangle
BE MY TEACHER!
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
I LIKE TURTLES EVERYONE!
I was just about to post this.
anyone can find the khanacademy abaout fractals?
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👌👌👌
I learn't this at school in 1947
Correction, I meant 1948 when I was 13 years old.
u r awesome dude
Suhail saifi roll no 24 nice video
😀😀😇😇😇
This video was pretty confusing lol you didn't use the right colors
FOURTEENTH COMMENT! Do you like italian food?
😑
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
mind f'ed.
FIFTEENTH COMMENT! I like turtles
🤔💔⁉
THAT PROOF WAS CREATED BY EINSTEIN!!!!
Thank you sir
THANK YOU