Geometry

Question Analysis

The main focus is to use the Pythagorean Theorem to determine the length of the unknown side  in the right - triangle. We need to correctly identify the hypotenuse and the known leg, and then apply the theorem.

 

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 we want to find the other leg , we can rearrange the formula as .

 

Step - by - Step Solution

1. Identify the sides:

In this right - triangle, the hypotenuse  and one leg . The unknown side  is the other leg.

2. Apply the Pythagorean Theorem:

Substitute the values into the formula .

First, calculate  and

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