SOLUTION: Find the smallest angle in the triangle whose sides have length 35.6cm, 58.43cm,and 52.23.

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Question 97377: Find the smallest angle in the triangle whose sides have length 35.6cm, 58.43cm,and 52.23.
Answer by stanbon(75887) About Me  (Show Source):
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Find the smallest angle in the triangle whose sides have length 35.6cm, 58.43cm,and 52.23.
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The smallest angle is the angle opposite the smallest side.
Let a= 35.6
Use the Law of cosines to find angle A:
cosA = [b^2 + c^2-a^2]/[2bc]
cosA = [4874.6778]/6103.5978 =0.798656458...
A = cos^-1(0.798656458) = 36.998.. degrees
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Cheers,
Stan H.