Split polygons into two halves

Geometry Level 4

Find the point $$(x,y)$$ that cuts the given polygon into two halves with equal area.

If $$x = \frac{a}{c}$$ and $$y = \frac{b}{c}$$, where $$a,b,c$$ are all positive integers with $$(a,c)$$ and $$(b,c)$$ coprime pairs, enter your answer as $$a+b+c$$.

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