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Pythagoras (circa 570 − 495 BC) determined the relationship between the lengths of the edges of a right triangle.
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| 2500 years later, I thought I would to try to derive the same results on my own. I came up with two proofs. Later I came up with two more proofs. |
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Start with a right triangle. Add a square to the hypotenuse.  Superscribe with a larger square.  The area of the larger square is equal to the sum of the areas of 4 copies of the triangle and the area of the hypotenuse square.  |