Geometry

Question Analysis

The main focus is to determine the largest angle in the triangle using the Angle - Side Relationship Theorem. This theorem helps establish the connection between the lengths of the sides of a triangle and the magnitudes of their opposite angles.

 

Key Concept Explanation

In a triangle, the Angle - Side Relationship Theorem states that the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side. This is based on the geometric principle that as the length of a side of a triangle increases, the measure of the angle opposite to it also increases.

 

Step - by - Step Solution

1. First, identify the lengths of the sides of the triangle: The side lengths are , , and .

2. Then, determine the longest side: Among these,

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