# A simple triangle

Geometry Level 3

In triangle $$\triangle ABC$$, we know that its perimeter is $$18$$, $$\sin(A)=\dfrac{2\sqrt{6}}{7}$$ and $$\sin(B)=\dfrac{2\sqrt{6}}{5}$$. If its area is $$x$$, find $$x^{\frac{2}{3}}$$.

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