Split polygons into two halves

Geometry Level 3

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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