# Triangle trisection

Geometry Level 3

In equilateral triangle $$ABC$$, points $$D$$ and $$E$$ trisect $$BC$$. If $$\sin(DAE)$$ can be expressed as $$\frac{a\sqrt{b}}{c}$$ where $$a$$ and $$b$$ are in the simplest form and $$b$$ is a non perfect square, find $$a+b+c$$.

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