Pythagorean Theorem XII (visual proof)

This is a short, animated visual proof of the Pythagorean theorem (the right triangle theorem) following essentially Euclid's proof. 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. As a bonus, we show how to use Euclid's shear and rotate proof to create a dissection proof of the Pythagorean theorem. Which of these proofs do you prefer?

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For other proofs of this same fact check out:
   • Ten Epic Pythagorean Proofs Without W...   (compilation)
   • Pythagorean Theorem XI (Dudeney's dis...  
   • Pythagorean Theorem I (visual proof)  
   • Pythagorean Theorem II (visual proof)  
   • Pythagorean Theorem III (visual proof)  
   • Pythagorean Theorem IV (visual proof;...  
   • Pythagorean Theorem V (visual proof; ...  
   • Pythagorean Theorem VI (visual proof;...  
   • Pythagorean Theorem VII (visual proof)  
   • Pythagorean Theorem VIII (Bhāskara's ...  
   • Pythagorean Theorem X (visual proof w...  

or check out my Pythagorean theorem playlist:

   • Pythagorean Theorem  

This animation is based on a proof due to Euclid. For a static version of this proof, see Roger Nelsen's first "Proof Without Words: Exercises in Visual Thinking" compendium (page 5) : https://bookstore.ams.org/clrm-1. You can also check out Howard Eves' "Great Moments in Mathematics (Before 1650)" page 31-33.

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The dissection proof was suggested to me by Glen Whitney (https://studioinfinity.org/), and Glen then found a similar dissection in the compendium of Pythagorean theorem proofs from Elisha Loomis (Proof 21 on p. 122 ).
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