Question

if the triangle ABC, E is the midpoint of AC and D is the midpoint of CB. If DF is Parallel to BE, Find the length of AB?

Answer 1

umm...you switched up D and E by mistake
they must have given you some value to be able to calculate the length

Answer 2

If we were to connect the points D and F as well

We will be creating two different sets of similar triangles
set 1:
triangle ABC and triangle CDE are similar triangles and the ratio of corresponding sides 2:1, the length of CD being half the length of BC
set 2:
triangle CDF and triangle CBE

Answer 3

then

Answer 4

@Javk what is the next step :(

Answer 5

The lengths
BD = CD = 5
EF = CF = 4
AE = CE