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Find the value of C in a triangle where a = 6, b = 8, and c = 12.

User Tsohtan
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1 Answer

2 votes

Answer: 117°

Explanation:

Use the Law of Cosines:

c² = a² + b² - 2ab · cos C

12² = 6² + 8² - 2(6)(8)(cos C)

144 = 36 + 64 - 96 cos C

144 = 100 - 96 cos C

44 = -96 cos C


-(44)/(96)=cosC\\\\\\cos^(-1)\bigg(-(44)/(96)\bigg)=C

117° = C

User Solowalker
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