Answer:
DG = 12 , GC = 24
Explanation:
DC is a median of Δ ABC
on each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is
GC = 2 DG , then
DG + GC = DC , that is
DG + 2 DG = 36
3 DG = 36 ( divide both sides by 3 )
DG = 12
thus
DG = 12 and GC = 2 × 12 = 24