Pythagorean Theorem

The Pythagorean Theorem states that for all right triangles, ${a}^{2}+{b}^{2}={c}^{2}$ , where c is the hypotenuse, and a and b are the legs of the right triangle. This theorem is a classic to prove, and hundreds of proofs have been published. The Pythagorean Theorem is one of the most frequently used theorem in geometry, and is one of the many tools in a good geometer's arsenal.