In triangle ABC, AB = 7, AC = 8 and angle A = 60°. What is BC?

Answer and explanation

Correct answer: A. √57

  1. Step 1: Use the cosine rule: BC² = AB² + AC² − 2·AB·AC·cos A. Step 2. cos 60° = 1/2, so BC² = 113 − 56 = 57. Answer: √57. Why not the others: Leaving out or adding the cosine term changes the result.

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