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...

  • Centroids and Triangles - determining perimeter? -

    We have banned you from taking anymore AoPS. We can track your IP address.

  • Centroids and Triangles - determining perimeter? -

    what a chilly cow

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