Geometry

Question Analysis

The main focus is to apply the Angle - Side Relationship Theorem to order the angle measures of from smallest to largest. 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 smallest angle is opposite the shortest side, and the largest angle is opposite the longest side. This 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 . Since a>0, we can compare the sides directly. The shortest side is