Geometry

Question Analysis

The main focus is to correctly apply the Pythagorean Theorem to find the length of the unknown side  in the right - triangle. We need to identify the hypotenuse and the legs accurately and then use 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 hypotenuse  and one leg , and want to find the other leg , we can rearrange it as .

 

Step - by - Step Solution

1. Identify the sides:

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

2. Apply the Pythagorean Theorem:

According to the formula .

Calculate  and