Proof of the Pythagorean theorem

Click and drag the image so you can see how the surfaces of a2 + b2 are related to the surface c2.

c² = a² + b² c a b

Regardless of where the yellow dot is, c2 is always the sum of a2 + b2.

(t describes the angle from the semi-circle center in radians)

 

© Hans E Andersson

 

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