Geometry

Question Analysis

The main focus is two - fold: first, to apply the Pythagorean Theorem to find the length of the unknown side of the right - triangle, and then calculate the perimeter. Second, to identify common errors when using the Pythagorean Theorem.

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 side:

The hypotenuse ft and one leg ft.

Using the formula , we substitute the values: .

Calculate and

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