Centroids and Triangles  determining perimeter?
posted by Knights on .
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....

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