Geometry

Question Analysis

The problem requires finding the length of side  in . Given two angles (, ) and one side (), the Law of Sines is the appropriate tool to establish a relationship for calculating the unknown side.

 

Key Concept Explanation

Law of Sines: In any triangle  (here ), , where  are the 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

1. Apply the Law of Sines:

Let . According to the Law of Sines, .

We know that , , and .

So,

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