Geometry

Question Analysis

The main focus is to correctly apply the Pythagorean Theorem to the given right - triangle to determine the equation for solving . We need to identify the lengths of the legs and the hypotenuse and substitute them into the theorem appropriately.

 

Key Concept Explanation

The Pythagorean Theorem states that for a right - triangle with legs of lengths  and  and hypotenuse of length , the equation is . When we know the length of the hypotenuse and one leg and want to find the other leg, we can rearrange the formula accordingly.

 

Step - by - Step Solution

1. Identify the sides of the right - triangle:

In the given right - triangle, the lengths of the legs are  and 15, and the hypotenuse is 26.

2. Apply the Pythagorean Theorem:

Starting with , substituting , , and

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