Answer:
DE = 6
Step-by-step explanation:
The centroid of a triangle is the point where the medians intersect
The median is a segment that goes from one of the triangles vertices to the midpoint of the opposite side.
On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint
In Δ ABC
AE is a median and
AD = 2 DE
Now
AE = AD + DE = 18 , that is
2DE + DE = 18
3DE = 18 ( divide both sides by 3 )
DE = 6
note that DE = [tex]\frac{1}{3}[/tex] AE
