Talk:2013 AIME II Problems/Problem 15

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 $\angle B>90^\circ$ .