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9.7: Pythagorean Theorem and its Converse

Difficulty Level: Basic Created by: CK-12
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Vocabulary

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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MAT.ALG.820.L.1