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.
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For a longer version of this video with a bonus dissection proof based on this proof, see
• Pythagorean Theorem XII (visual proof)
You can also see other Pythagorean theorem proofs here:
• 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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Watch video Pythagorean theorem: Euclid’s proof reimagined online without registration, duration hours minute second in high quality. This video was added by user Mathematical Visual Proofs 15 April 2024, don't forget to share it with your friends and acquaintances, it has been viewed on our site 69,900 once and liked it 5.2 thousand people.