Pythagorean theorem proof by scaling

This is a short, animated visual proof of the Pythagorean theorem (the right triangle theorem) using the hypotenuses of scaled triangles. This theorem states the square of the hypotenuse of a right triangle is equal to the sum of squares of the two other side lengths. #mathshorts #mathvideo #math #pythagoreantheorem #pythagorean #triangle #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof

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[richardgratton]

Wow! Never seen this proof before. Very original! ❤👍😊

[samueleprandini]

The best visual proof I've seen so far. Tomorrow I'll show to my mates

[bujamade]

Geometry really does make more sense when you try to draw it.

[jickhertz]

I saw the proof with squares attached to each edge and the areas were added, but this is so much cleaner. Easy to remember too, scale by each edge. Ty!

[IbadassI]

This is a completely different proof than I've ever seen, amazing

[SerunaXI]

This is certainly an interesting proof. I've seen the one that shows the areas of a^2 added to b^2 yielding the area c^2.

[vladimirrodriguez]

Truly surprising and ingenious this unusual graphic demonstration of the Pythagorean theorem. Congratulations

[Jb_loL]

Way better than those 30 minutes of lectures, ty.

[ambigousamphibian]

Ur channel is so underrated
Great work 💪

[wwjjss]

Very cool visual proof. Never seen it before 👍

[diegodankquixote-wry]

I thought he was going to say the hypotenuse had a length of *P* for a second. That's a relief.

[juandiegoparales]

Hmm, I discovered an equivalent proof a few years ago. It's really nice.

[ceebad]

First time i’ve ever seen this proof before. Probably the best one I’ve seen too

[kyliann]

Ima do the math nerd, but, the pythagorean theorem is no theorem actualy it is a special thing with an other theorem (idk how it is exactly but you'll understand) in fact in a triangle you can calculate any side with a *simple* theorem: (c^2)=(a^2)+(eather cos or sin of the angle AB (which here is 90°)+(b^2) and in fact eather the cos or sin of 90 is *zero* so you get this: (c^2)=(a^2)+(b^2)
(Sorry if this is impossible to undestand, english is not my 1st langages)

[stephenlugemwaluswata]

I think even better if one flipped the last triangle (factor c) so that the final composite (of 3 triangles) forms a rectangle

[tillexplaning]

Actually this theorem was proves many decades before pythagora . This theorem but with different derivation is written by baudhayana sabal Sutra |

[RandeepS.]

Thanks it's actually very interesting to know about these things

[Astronomator]

I've never seen this proof before, and now it's my favorite.

[joeremus]

Euclid, or rather the euclidian school, did not accept reflection in their proofs. Why, you may ask? Because they had to use the axioms stated at the beginning of Elements - there are 13 axioms. Should reflection have been added as an axiom? Since it seems not to be necessary they felt not. Challenge: find a plane geometry problem where it is necessary or provide a proof that reflection is never needed.