Answer: Choice C) BG = 6, GE = 12
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Explanation:
The centroid G cuts the median segment BE such that BG is 1/3 of BE, and GE is 2/3 of BE.
So,
BG = (1/3)*BE = (1/3)*18 = 6
GE = (2/3)*BE = (2/3)*18 = 12
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Put another way: GE is twice as long as BG
Let x = BG. This means 2x = GE
Leading to
BG+GE = BE
x+2x = 18
3x = 18
x = 18/3
x = 6 = BG
2x = 2*6 = 12 = GE
