Geometry

Question Analysis

The main focus is to apply the Angle - Side Relationship Theorem to find the smallest angle in the given triangle. This theorem allows us to relate the lengths of the sides of a triangle to the magnitudes of the angles opposite them.

 

Key Concept Explanation

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

 

Step - by - Step Solution

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

2. Determine the shortest side: Among these,

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