SOLUTION: A triangle has sides measuring 28,34, and 47 what is the measure of the smallest angle?

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Question 976072: A triangle has sides measuring 28,34, and 47 what is the measure of the smallest angle?
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
You know the law of cosines?
C%5E2+=+A%5E2%2BB%5E2-2AB+Cos+C
I know the angle opposite the smallest side is the smallest angle. 28.
28%5E2+=+34%5E2%2B47%5E2-2%2834%29%2847%29+Cos+C

784+=+1156%2B2209-3196+Cos+C
And so -
-2581+=+-3196+Cos+C

Cos+C+=+-2581%2F-3196

Cos+C+=+.80757

C = 36.14 degrees