Geometry

Question Analysis

This question involves the Pythagorean Theorem Converse. The main focus is to determine whether a set of three side lengths can form a right triangle by checking if the sum of the squares of the two shorter sides is equal to the square of the longest side.

Key Concept Explanation

The Pythagorean Theorem states that in a right triangle, , where is the length of the hypotenuse (the longest side) and and are the lengths of the other two sides. The converse of the Pythagorean Theorem is used to determine if a triangle is a right triangle. If holds true for a set of three side lengths, then the triangle is a right triangle.

Step - by - Step Solution

For each set of side lengths, we need to check if the Pythagorean Theorem Converse holds.

A.For the set :

, and . Since , this set does not form a right triangle.

B.For the set :

, and . Since , this set forms a right triangle.

C.For the set

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