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# triangles

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The centroid of ABC is G.  Find BG.

Apr 29, 2022

#1
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BG = 3*sqrt(7).

Apr 29, 2022
#2
+2440
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Draw median $$BM$$.

The length of $$BM$$ is $$4 \sqrt{13}$$.

By the properties of centroids, $$GM: BG = 1:2$$

This means that $$BG$$ is $$\color{brown}\boxed{8 \sqrt{13} \over 3}$$

Apr 29, 2022