# 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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