Geometry

Question Analysis

The problem requires using the Law of Cosines to find the measure of  in , given the lengths of all three sides (, , ).

 

Key Concept Explanation

The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. For  with sides , ,  and the angle  opposite side , . Rearranging for  gives . In , to find , we use , as we know the lengths of all sides and want the angle opposite side .

 

Step - by - Step Solution

1. Identify values: Let ,

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