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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