Geometry

Question Analysis

The main focus is to use the Angle - Side Relationship Theorem to order the angle measures of  from smallest to largest. This involves identifying the longest and shortest sides of the triangle and then determining 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 relationship is based on the geometric principle that as the length of a side decreases, the measure of the angle opposite to it also decreases.

Step - by - Step Solution

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

2. Determine the longest and shortest sides: The shortest side is

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