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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?

Nov 28, 2018

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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!

:P

Nov 30, 2018