Answer:
see explanation
Step-by-step explanation:
The triangle segment is a median
A median goes from the vertex to the midpoint of the opposite side.
On each median the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint.
AC = 2 × FC = 2 × 35 = 70
BG = [tex]\frac{2}{3}[/tex] × BF = [tex]\frac{2}{3}[/tex] × 57 = 2 × 19 = 38
GC = 2 × DG = 2 × 14 = 28
AE = AG + GE = 42 + 21 = 63
