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Centroids and Triangles - determining perimeter?

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Let G denote the centroid of triangle ABC. If triangle ABG is equilateral with side length 2, then determine the perimeter of triangle ABC.

I drew the diagram, but it doesn't really help....

  • AoPS - ,

    Are you by any chance enrolled (or were enrolled) in AoPS Intro to Geometry course? Because I recognize all of the problems you post...

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