Geometry

Question Analysis

This question is about the Pythagorean Theorem Converse. The main focus is to determine which set of side lengths satisfies the Pythagorean relationship to form a right triangle.

Key Concept Explanation

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. That is, for a triangle with side lengths , , and where is the longest side, if and only if the triangle is a right triangle.

Step - by - Step Solution

For each option, we check if the Pythagorean relationship holds.

A: , and . Since , this is not a right triangle.

B: , and

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