In the given figure, AD is a median to side BC, and BF is a median to side AD. Given that AC= 30 units, what is the length of AE.
Option (b)
A line DG is drawn || BE.
Then ΔGCD and ΔECB are similar. Also, BD=DC, thus EG=GC.
ΔAFE and ΔADG are similar. Also, AF=FD, thus AE=EG.
Thus, AE=EG=GC= 303=10 units.