Geometry

Question Analysis

The question assesses the ability to choose between the Law of Sines and the Law of Cosines given the lengths of all three sides of a triangle. The main focus on the Law of Cosines hints at the correct approach.

Key Concept Explanation

Law of Sines: , useful for finding angles when an angle - opposite side pair and another side or angle are known.

Law of Cosines: , ideal for finding an angle when all three side lengths (SSS) or two sides and the included angle (SAS) are known.

Step-by-Step Solution

Apply the Law of Cosines formula . Rearrange it to solve for :

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