SOLUTION: Classify the triangle with the given side lengths as acute, right or obtuse
8, 10, 12
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Question 109644: Classify the triangle with the given side lengths as acute, right or obtuse
8, 10, 12
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Classify the triangle with the given side lengths as acute, right or obtuse
8, 10, 12
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The largest angle is opposite the side of length 12.
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Using the Law of Cosines:
Let angle opposite side of length 12 be "a".
Cos(A) = [b^2+c^2-a^2]/2bc
Cos(A) = [8^2+10^2-12^2]/2*8*10
Cos(A) = 0.125
A = arccos (0.125) = 82.82 degrees
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It is an acute triangle.
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Stan H.
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