Geometry

Question Analysis

The main focus is to use the Pythagorean Theorem to find the length of the hypotenuse of the right - triangle. Then, we need to 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 . This theorem helps us find 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

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