Geometry

Question Analysis

The main focus is to apply the Pythagorean Theorem to find the length of the hypotenuse  in the given right - triangle. We need to identify the lengths of the two legs and substitute them into 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 . Here, we need to find the hypotenuse  using the lengths of the two equal legs.

 

Step - by - Step Solution

1. Identify the sides of the right - triangle:

The lengths of the two legs are  and , and the hypotenuse is .

2. Apply the Pythagorean Theorem:

Substitute the values of the legs into the formula . So, we have .

Calculate , then