Answer:
BE = 6
Step-by-step explanation:
Fact regarding the centroids of a triangle.
On each median the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, thus
BD = 2DE, that is
4 = 2DE ( divide both sides by 2 )
DE = 2
Thus
BE = BD + DE = 4 + 2 = 6
