Question

Triangle A B C has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments A D, B E, C F.
[Figure may not be drawn to scale]

In triangle ABC, BG = 24 mm. What is the length of segment GE?
12 mm
24 mm
36 mm
48 mm

Answer 1

GE = 12 mm
Medians are concurrent and cut each other in the ratio of 2:1 from the vertex
BG:GE = 2:1 = 24:12