Geometry

Question Analysis

The main focus is to apply the Angle - Side Relationship Theorem to determine the smallest side of the triangle. This involves identifying the smallest 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 smallest side is opposite the smallest angle, and the largest side is opposite the largest angle. This is based on the geometric principle that as the measure of an angle decreases, the length of the side opposite to it also decreases.

 

Step - by - Step Solution

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

2. Determine the smallest angle: Among these,

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