Geometry

Question Analysis

The main focus is to correctly apply the Pythagorean Theorem to determine the equation that represents the given right - triangle. We need to identify the hypotenuse and the legs of the triangle and match them with the appropriate terms in the Pythagorean formula.

 

Key Concept Explanation

The Pythagorean Theorem states that for a right - triangle with legs of lengths  and  and hypotenuse of length , the equation is . The hypotenuse is the side opposite the right angle and is the longest side of the right - triangle.

 

Step - by - Step Solution

1. Identify the sides of the right - triangle:

In the given triangle, the hypotenuse , and the legs are  and .

2. Apply the Pythagorean Theorem:

Substitute the values into the formula

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