Pythagorean Theorem XI (Dudeney's dissection visual proof)

This is an animated visual proof of the Pythagorean theorem (the right triangle theorem) using a Henry Dudeney's dissection argument (congruent-by-addition proof).

This animation is based on a proof from Henry Dudeney and is discussed in Howard Eve's book "Great Moments in Mathematics (before 1650)." You can also find this in Roger Nelsen's first PWW compendium on page 6.

Here is a shorts version of this proof:

For other proofs of this same fact check out:

#math #manim #pythagoreantheorem #pythagorean #triangle #animation #theorem #pww #proofwithoutwords #visualproof #proof #mathshorts #mathvideo

To learn more about animating with manim, check out:

[Dae-Ying-Kim]

* 1:10 that moment is really magical ! *

[bengarner]

I was just wondering. In the proof for the b^2 into c^2 why do we divide by 2 for both b-a and b+a.

[RandyKing]

four British “trapezoids” but only two US “trapezoids” 😁