Question

In triangle ABC, AU=16,BU=12 and CF=18. Find the measurements of AD and BE​

Answer 1

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