G is the centroid of equilateral triangle ABC. D, E, and F are midpoints of the sides. P, Q, and R are the midpoints of line AG, line BG, and line CG, respectively. If AB= sqrt(3) what is the perimeter of hexagon DREPFQ?
Oh yes, this is from the Geometry Homework on AoPS.
I can't tell you the answer but...
Are there any triangles you can use?
Smart triangles? like 30-60-90?
Is it a coincidence that \(AB=\sqrt3\)? Maybe it's part of a 30-60-90 triangle.
You should be able to find \(DR\) with these hints.
You are very welcome!