# Difference between revisions of "Pythagorean Theorem"

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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. | 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. | ||

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

## Revision as of 18:26, 18 June 2006

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.