Geometry

Question Analysis

This question focuses on identifying the short leg of a 30 - 60 - 90 right - triangle. The key is to recall the side - angle relationships specific to 30 - 60 - 90 triangles.

 

Key Concept Explanation

In a 30 - 60 - 90 right - triangle, the side opposite the 30° angle is the short leg, the side opposite the 60° angle is the long leg, and the hypotenuse is opposite the 90° angle. The side - length relationships are: if the short leg has length , the long leg has length , and the hypotenuse has length .

 

Step - by - Step Solution

1. Determine the angles:

In the given triangle, one angle is 30° and the right - angle is 90°. So the third angle is