Geometry

Question Analysis

The main focus is to apply the Angle - Side Relationship Theorem to order the sides of  from longest to shortest. This requires finding the third angle of the triangle, identifying the largest and smallest angles, and then determining the sides opposite them.

Key Concept Explanation

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

Step - by - Step Solution

1. Find the third angle: In , we know  and . Using the angle - sum property of a triangle (), we get .

2. Identify the largest and smallest angles: The angles are

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