Geometry

Question Analysis

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

 

Key Concept Explanation

The Pythagorean Theorem states that for a right - triangle with legs of lengths and and hypotenuse of length , the equation is . The hypotenuse is the side opposite the right angle and is the longest side of the right - triangle.

 

Step - by - Step Solution

1. Identify the sides of the right - triangle:

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

2. Apply the Pythagorean Theorem:

Substitute the values of the sides into the formula . Here,