SOLUTION: Solve the triangle ABC. (using the law of cosines) a=10,b=12,c=16

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Question 1042353: Solve the triangle ABC. (using the law of cosines)
a=10,b=12,c=16
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
Solve the triangle ABC. (using the law of cosines)
a=10,b=12,c=16
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You should do that.
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The Cosine Law is similar to the Pythagorean Theorem.
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c^2 = a^2 + b^2
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Add 1 term:
c^2 = a^2 + b^2 - 2ab*cos(C)
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Notice that angle C = 90 degs in a right triangle --> 2ab*0 --> Pythagoras.

Answer by ikleyn(52781) (Show Source):
You can put this solution on YOUR website!
.
Solve the triangle ABC. (using the law of cosines)
a=10,b=12,c=16
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This assignment is to find the angles of the given triangle. Use the Law of Cosines. = , or = , or 256 = 100 + 144 - 240*cos(C), or 256 - 100 - 144 = - 240*cos(C), or 12 = -240*cos(C), or cos(C) = = . ---> angle C = = (an obtuse angle). Doing by the same way, find cos(B) and cos(C). This is the way.