Question

E is midpoint of median AD of triangle ABC. BE is produced to meet AC at F. Show that AF =1/3AC.

Answer 1

You also give figure

Answer 2

Cons:- draw a line from D meeting ar ac at g
Now in triangle adc e is the midpoint of the ad and ef ll to dg
so f is also the mid point of ag (midpoint theor)
Now in triangle bfc
D is also the midpoint of bc and dg ll to bf
So g is also a midpoint
Now in triange abc af=fg=gc
So af=1/3 ac