Geometry

Question Analysis

The problem is about finding the length of side  in  using the Law of Sines. We are given , , and the length of side . The Law of Sines will help us establish a relationship to solve for 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  be the side we want to find. According to the Law of Sines, .

We know that ,

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