Geometry

Question Analysis

We are given two sides (, ) and the included angle () in . The task is to find the length of the third side , which is a typical application of the Law of Cosines.

 

Key Concept Explanation

The Law of Cosines states that for a triangle with sides , ,  and the angle  opposite side , . In , if we let , , and , we can use this formula to find .

 

Step - by - Step Solution

1. Substitute the values into the Law of Cosines formula:

, so .

, so .

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