In triangle ACE, G is the centroid and BE=9. Find BG and GE.

(segments BE and AD cross in the middle of the triangle, BE overlaps AD and C is at the top of the triangle, and A is on the left corner and E is on the right)

Thank You So Much!!! ^0^

10 answers

If you check your definition of the centroid, you will find that it is 2/3 of the way from each vertex to the midpoint of the opposite side.

So, if EB is 9, how far is 2/3 of the way from E to B?
BG= 3
GE= 6
( i am 52% sure that my top answer is wrong but IDK. sorry people. (′~`;) )
The person above was actually right, but here's the work

BG = 1/3 x BE
BG = 1/3 x 9
BG = 3

GE = 2/3 x BE
GE = 2/3 x 9
GE = 6
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