Geometry

Question Analysis

The main focus is to use the Pythagorean Theorem to find the length of the hypotenuse of the right - triangle. Then, calculate the perimeter by adding the lengths of all three sides.

Key Concept Explanation

The Pythagorean Theorem states that for a right - triangle with legs of lengths  and  and hypotenuse of length , . This helps in determining the length of an unknown side in a right - triangle.

Step - by - Step Solution

1. Find the length of the hypotenuse:

The lengths of the legs are  ft and  ft.

According to the Pythagorean Theorem .

Substitute the values: .

Calculate  and

Click "Show Answer" to reveal the answer and analysis