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in Olympiad by (65.8k points)

Let ABC be an acute-angled triangle and let H be its orthocenter. Let G1, G2 and G3 be the centroids of the triangles HBC, HCA and HAB respectively. If the area of triangle G1, G2, G3 is 7 units, what is the area of triangle ABC?

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Let D, E and F are the mid-points of BC, AC and AB respectively.

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