Pythagorean Theorem

Revision as of 18:26, 18 June 2006 by IntrepidMath (talk | contribs)

The Pythagorean Theorem states that for all right triangles, a^2+b^2=c^2, where c is the long 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 the most frequently used theorem in geometry, and is one of the many tools in a good geometer's arsenal.

This is generalized by the Pythagorean Inequality (See Geometric inequalities) and the Law of cosines.

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