# Pointed Pointy Triangle (My bad sense of naming things)

Calculus Level 5

If the average distance from a point randomly selected in the unit equilateral triangle to its center equals $\frac{\ln(a+\sqrt{b})+a\sqrt{b}}{c}$ where $$a,b$$ and $$c$$ are positive integers with $$b$$ being square-free. Find $$a+b+c$$.

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