Geometry

Question Analysis

The question focuses on identifying the short leg in a 30 - 60 - 90 triangle. The key is understanding the side - angle relationships in such triangles.

 

Key Concept Explanation

In a 30 - 60 - 90 triangle, the side opposite the 30° angle is the short leg, the side opposite the 60° angle is the long leg (which is  times the short leg), and the side opposite the 90° angle is the hypotenuse (which is 2 times the short leg).

 

Step - by - Step Solution

Since  is opposite the 60° angle, it is the long leg. The hypotenuse is  (opposite the 90° angle). That leaves , which must be opposite the 30° angle, so