Talk:2013 AIME II Problems/Problem 15

Revision as of 20:51, 12 March 2014 by Andrew64 (talk | contribs) (Created page with "Wonder if the problem is correctly stated. <math>\sin C=\sqrt{\frac{1}{8}}}<\sqrt{\frac{1}{2}},</math> <math> \sin A=\sqrt{\frac{4}{9}}<\sqrt\frac{1}{2}},</math> so both <ma...")
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Wonder if the problem is correctly stated.

$\sin C=\sqrt{\frac{1}{8}}}<\sqrt{\frac{1}{2}},$ (Error compiling LaTeX. Unknown error_msg) $\sin A=\sqrt{\frac{4}{9}}<\sqrt\frac{1}{2}},$ (Error compiling LaTeX. Unknown error_msg) so both $\angle C,$ and $\angle A$ are less than $45^\circ$. As a result $\angle B>90^\circ$.

How could $\triangle ABC$ be an acute triangle?

Thanks.