Geometry

Question Analysis

The main focus is to apply the Angle - Side Relationship Theorem to identify the largest angle in the triangle. This theorem helps in correlating the lengths of the sides of a triangle with the magnitudes of the angles opposite to them.

 

Key Concept Explanation

The Angle - Side Relationship Theorem states that in any triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side. This relationship is based on the fundamental geometric principle that the greater the length of a side, the larger the angle it subtends.

 

Step - by - Step Solution

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

2. Determine the longest side: Among these,

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