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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
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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

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