Geometry

Question Analysis

The main focus is to apply the Pythagorean Theorem to find the length of the unknown leg of the right - triangle. Then, calculate the perimeter by summing up 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 , . When we know the hypotenuse  and one leg , we can find the other leg  using .

Step - by - Step Solution

1. Find the length of the unknown leg:

The hypotenuse  ft and one leg  ft.

Using the formula , we substitute the values: .

Calculate