Question

C and D are the two points lying between A and B such that C is the midpoint of AB and D is the midpoint of AC prove that AD=1/4AB

Answer 1

If you mean mid point it means that it is the half of the distance of the original line

Now the midpoint of line AB is C

It means AB=2AC

NOW D is the midpoint of line AC

It means AC=2AD

NOW AB=2AC AND AC=2AD

AB=4AD

OR AD=1/4AB

Answer 2

I think this is your answer