Answer with Step-by-step explanation:
We are given that point B lies on the segment AC.
Length of AC= a cm
We have to find the the distance between the midpoint of segment AB and BC.
When B lies on the segment AC.
Let mid point of segment AB and BC are E and F.
E is the midpoint of segment AB.
Therefore,
Distance between E and F is given by
Hence, the distance between the midpoints of segment AB and BC is given by