Geometry

Question Analysis

The main focus is to use the Pythagorean Theorem to find the length of the unknown leg 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 , the equation is . When we know the hypotenuse and one leg , we can find the other leg using the formula .

Step - by - Step Solution

1. Find the length of the unknown leg:

The hypotenuse ft and one leg ft.

Substitute into the formula , so .

Calculate

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