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In triangle ABC, if a = 8 cm, b = 6 cm, and angle C = 60°, find the length of side c.

Question

In triangle ABC, if a = 8 cm, b = 6 cm, and angle C =

60°, find the length of side c.

A 10 cm Correct Answer Incorrect Answer

B 9 cm Correct Answer Incorrect Answer

C 8 cm Correct Answer Incorrect Answer

D 7.2 cm Correct Answer Incorrect Answer

Solution

Using the Law of Cosines: c² = a² + b² - 2ab cos(C) c² = 8² + 6² - 2(8)(6)(1/2) c² = 64 + 36 - 48 c² = 52 c = √52 ≈ 7.2 cm.

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