Geometry

Question Analysis

The main focus is to use the Angle - Side Relationship Theorem to determine the largest angle in the given triangle. This theorem provides a crucial link between the side lengths and the angles opposite them in a triangle.

 

Key Concept Explanation

The Angle - Side Relationship Theorem states that in a triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side. This is due to the geometric property that as the length of a side increases, the measure of the angle opposite to it also increases.

 

Step - by - Step Solution

1. Identify the side lengths: The side lengths of the triangle are , , and .

2. Determine the longest side: Among these,

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