Geometry

Question Analysis

The goal is to find the length of side  in . Given , , and . The Law of Sines is the appropriate tool to establish a relationship between the known side and angles and the unknown side .

 

Key Concept Explanation

Law of Sines: In  (here ), , where  are side lengths opposite to angles  respectively. This law enables us to find unknown side lengths when we know some angles and side lengths.

 

Step - by - Step Solution

Apply the Law of Sines:

Let , . By the Law of Sines, .

We want to find , so we can re - arrange the formula to

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