# 11.6: Pythagorean Theorem and its Converse

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**Practice**Pythagorean Theorem and its Converse

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converse of the Pythagorean Theorem

If the lengths of the three sides of a triangle satisfy the equation , then the triangle is a right triangle.converse

If a conditional statement is (if , then ), then the converse is (if , then . Note that the converse of a statement is not true just because the original statement is true.Hypotenuse

The hypotenuse of a right triangle is the longest side of the right triangle. It is across from the right angle.Legs of a Right Triangle

The legs of a right triangle are the two shorter sides of the right triangle. Legs are adjacent to the right angle.Pythagorean Theorem

The Pythagorean Theorem is a mathematical relationship between the sides of a right triangle, given by , where and are legs of the triangle and is the hypotenuse of the triangle.### Image Attributions

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Learn how to use both the Pythagorean Theorem and its converse.

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Basic
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Date Created:

Feb 24, 2012
Last Modified:

Sep 12, 2016
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