Geometry

Question Analysis

The main focus is to apply the Angle - Side Relationship Theorem to order the angle measures of from largest to smallest. This requires 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 largest angle is opposite the longest side, and the smallest angle is opposite the shortest side. This relationship is based on the geometric principle that as the length of a side increases, the measure of the angle opposite to it also increases.

Step - by - Step Solution

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

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