Answer:
EG = 5
Explanation:
AD, BE and CF are the medians of Δ ABC.
A median is a segment that goes from one of the triangle's vertices to the midpoint of the opposite side.
The 3 medians of a triangle intersect at its centroid.
On each median , the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint.
This can be expressed as BG = 2EG , then for median BE
EG + BG = BE , that is
EG + 2EG = BE
3EG = 15 ( divide both sides by 3 )
EG = 5