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# centroid

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G is the centroid of triangle ABC. $$G_1,G_2,$$ and $$G_3$$ are the centroids of triangle BCG, triangle CAG, and triangle ABG, respectively. What is $$\dfrac{[G_1G_2G_3]}{[ABC]}$$?

Nov 11, 2021

#1
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$[G_1 G_2 G_3]/[ABC] = \frac{1}{12}$

Nov 11, 2021
#2
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[G1G2G3] / [ABC] = 1 / 9

civonamzuk

Nov 12, 2021
edited by Guest  Nov 12, 2021