SOLUTION: In a triangle ABC, angle A = 2 angle B. How would you prove that BC� = AC� + AB � AC?

SOLUTION: In a triangle ABC, angle A = 2 angle B. How would you prove that BC� = AC� + AB � AC?

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Question 1035292: In a triangle ABC, angle A = 2 angle B. How would you prove that BC� = AC� + AB � AC?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Use law of sines. Here

.

Cross-multiplying, this is equivalent to

.

Applying the law of cosines, we have

This is equivalent to

.

Substituting we have

You can then solve for

. However I don't think what I got matches with the expression you provided (either I messed up my algebra or the question you typed is incorrect).
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