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

Solution:

Given G is the centroid and BE = 9

By 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.

BG = 1/3 × BE

BG = 1/3 × 9

BG = 3

GE = 2/3 × BE

GE = 2/3 × 9

GE = 6

In ACE, G is the centroid and BE = 9, then BG = 3 and GE = 6.

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

Summary:

In ACE, G is the centroid and BE = 9, BG = 3 and GE = 6.