Answers:
BG is 3 units long
GE is 6 units long
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Step-by-step explanation:
BE is a median. G is the centroid.
One property is that GE is twice as long as BG
The longer part of the divide is from the centroid to the vertex
Which means,
GE = 2*BG
Using the segment addition postulate and substitution, we can solve for BG
BE = BG+GE
BE = BG+2*BG
BE = 3*BG
3*BG = BE
3*BG = 9
BG = 9/3
BG = 3
allowing us to say
GE = 2*BG
GE = 2*3
GE = 6