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Found problems: 1

2014 IFYM, Sozopol, 7
Tags: geometry , Symmedians , Equilateral Triangle
If $AG_a,BG_b$, and $CG_c$ are symmedians in $\Delta ABC$ ($G_a\in BC,G_b\in AC,G_c\in AB$), is it possible for $\Delta G_a G_b G_c$ to be equilateral when $\Delta ABC$ is not equilateral?