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Let △ ??? be a triangle with centroid ? and medians ??′, ??′, and ??′. Prove...

Let △ ??? be a triangle with centroid ? and medians ??′, ??′, and ??′. Prove that the six triangles △ ??′?, △ ???′, △ ??′?, △ ???′, △ ??′?, and △ ???′ all have equal areas.

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