Pythagorean Theorem III (visual proof)

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This is a short, animated visual proof of the Pythagorean theorem (the right triangle theorem) using the semicircle and Thales triangle theorem. 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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Or using the intersecting chords theorem, extending side b to the circumference, we get b×b=(c+a)(c-a) which leads after expanding and rearranging to Pythagoras' theorem

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