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# 9.7: Pythagorean Theorem and its Converse

Difficulty Level: Basic Created by: CK-12
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Practice Pythagorean Theorem and its Converse

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### Vocabulary Language: English Spanish

converse of the Pythagorean Theorem

If the lengths of the three sides of a triangle satisfy the equation $a^2+b^2=c^2$, then the triangle is a right triangle.

converse

If a conditional statement is $p \rightarrow q$ (if $p$, then $q$), then the converse is $q \rightarrow p$ (if $q$, then $p$. 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 $a^2 + b^2 = c^2$, where $a$ and $b$ are legs of the triangle and $c$ is the hypotenuse of the triangle.

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Difficulty Level:
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