Geometry

Question Analysis

The main focus is to apply the Angle - Side Relationship Theorem to determine the largest side of the triangle. This requires identifying the largest angle among the given angles and then finding the side opposite to it.

 

Key Concept Explanation

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

 

Step - by - Step Solution

1. Identify the angles: The angles of the triangle are , , and .

2. Determine the largest angle: Among these,

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