Answer:
AD = 24 and BE = 18
Step-by-step explanation:
AD, BE and CF are the medians of the triangle.Point U is the 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, thus
AU = 16, then UD = 0.5 × 16 = 8 and
AD = AU + UD = 16 + 8 = 24
BU = 12, then UE = 0.5 × 12 = 6 and
BE = BU + UE = 12 + 6 = 18
