SOLUTION: Find the largest angle in a triangle with sides 6.0 cm, 7.0 cm and 8.0 cm.

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Question 1204849: Find the largest angle in a triangle with sides 6.0 cm, 7.0 cm and 8.0 cm.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
given sides:
a=6.0
b=7.0
c=8.0
recall: The longest side in a triangle is opposite the largest angle.
so, it will be angle gamma

Solution: using Law of Cosine

+gamma=cos%5E-1%28%28a%5E2%2Bb%5E2-c%5E2%29%2F%282ab%29%29
+gamma=cos%5E-1%28%286.0%5E2%2B7.0%5E2-8.0%5E2%29%2F%282%2A6.0%2A7.0%29%29≈75.52249°