The Pythagorean Theorem

One of the foremost fundamental results is that the well-known Pythagorean Theorem.

This states that a a2 + b2 = c2 in a right triangle with sides a and b and hypotenuse c.

The figure to the proper indicates one among the various known proofs of this fundamental result. Indeed, the area of the “big” square is (a + b)2 and can be decomposed into the area of the smaller square plus the areas of the four congruent triangles.

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