Answer:
BG = 3; GE = 6
Step-by-step explanation:
The centroid of a triangle divides the median into two parts in the ratio 1 : 2. That is, the short segment is 1/3 the length of the median, and the long segment is 2/3 the length of the median.
BG = 1/3·BE = 9/3 = 3
GE = 2/3·BE = 2/3·9 = 18/3 = 6