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2013 AIME II Problems/Problem 5

Revision as of 16:22, 4 April 2013 by Yrushi (talk | contribs) (Problem 5)
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In equilateral $\triangle ABC$ let points $D$ and $E$ trisect $\overline{BC}$. Then $\sin(\angle DAE)$ can be expressed in the form $\frac{a\sqrt{b}}{c}$, where $a$ and $c$ are relatively prime positive integers, and $b$ is an integer that is not divisible by the square of any prime. Find $a+b+c$.

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