Geometry

Question Analysis

The main focus is to apply the Pythagorean Theorem Converse. We need to check if the sum of the squares of the two shorter sides equals the square of the longest side to determine if the triangle is a right triangle.

 

Key Concept Explanation

The Pythagorean Theorem Converse states that for a triangle with side lengths , , and  (where  is the longest side), if , then the triangle is a right triangle.

 

Step - by - Step Solution

1. Identify the sides:

The two shorter sides are  inches and  inches.

The longest side is  inches.

2. Calculate the squares:

.

.

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