Geometry

Question Analysis

We're dealing with △GHI, given two angles (, ) and the included side . The task is to find side . The Law of Sines is the key approach to solve for this unknown side.

 

Key Concept Explanation

The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is equal for all three sides. That is, in △GHI, .

 

Step - by - Step Solution

1. First, find . Since the sum of angles in a triangle is , .

2. Then, apply the Law of Sines. Let , . According to the Law of Sines formula

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