Geometry

Question Analysis

The task is to find the length of side  in a triangle where , , and side  are known. The Law of Sines is the appropriate tool for this problem as it relates the sides and angles of a triangle.

 

Key Concept Explanation

Law of Sines: In , , where  are the side lengths opposite to angles  respectively. This allows us to find unknown sides when we know some angles and side lengths.

 

Step - by - Step Solution

1. Apply the Law of Sines:

Let  and . According to the Law of Sines,