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ΔABC has three sides with these lengths: AB = 9, BC = 40, and CA = 41. What is the value of cos C?
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Oct 10, 2019
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ΔABC has three sides with these lengths: AB = 9, BC = 40, and CA = 41. What is the value of cos C?
Mathematics
high-school
Jetti
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Answer:
c=40/41
Explanation:
corect for plato
Vladievlad
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Oct 11, 2019
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Vladievlad
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From the Law of Cosines
Cos (C) = (a^2 + b^2 -c^2) / 2 * a * b
Cos (C) =(40^2 + 41^2 -9^2) / 2 * 40 * 41
Cos (C) = 1,600 + 1,681 - 81 / 3,280
Cos (C) = 3,200 / 3,280
Cos (C) =
0.9756097561
Incidentally, Angle C = 12.68 Degrees
Arjun T Raj
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Oct 15, 2019
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Arjun T Raj
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