A geometry problem by Muhammad Maulana

Geometry Level 3

In triangle \(ABC\), let \(X\) and \(Y\) be the midpoints of side \(AB\) and \(BC\) respectively. Let \(AY\) and \(CX\) intersect at \(G\). If \(AG = 12, CG = 16, XY = 10 \), what is the area of the triangle \(GXY\)?

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