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The lengths of the sides of a triangle are 10,14, , and 15 . What is the measure, of the angle opposite the longest side?

1 Answer

4 votes

Answer:

75.3°

Explanation:

Applies the Law of Cosines

15 represents the larger side and its opposite angle will be C


15^(2) =10^(2) +14^(2) -2(10)(14)cosC


225=296-280cosC


-280cosC=225-296


cosC=(-71)/(-280)


C=ArcCos(0.25357)

C = 75.3°

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