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In a triangle ABC, if a = 2, b = 3, C = 60°, find c (using cosine rule):
Asqrt(5)
B5
Csqrt(7) (c² = 4 + 9 - 12 cos 60° = 13 - 6 = 7)
D7
Answer & Solution
Correct answer: C. sqrt(7) (c² = 4 + 9 - 12 cos 60° = 13 - 6 = 7)
Cosine rule: c² = a² + b² - 2ab cos C = 4 + 9 - 2(2)(3)(1/2) = 13 - 6 = 7. c = √7.
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