Question

Point B lies on segment AC , which has length a centimeters. Find the distance between the midpoints of segments AB and BC .

NO explanation needed. I need this fast

Answer 1

The correct answer is - EF= a/2

Explanation:

Given:

point B lies on the segment AC.

Length of AC= a cm

solution-

When B lies on the segment AC.

Let the midpoint of segment AB and BC are E and F.

E is the midpoint of segment AB.

Therefore, AE= EB

BF = FC

So, AC = AE+EB+BF+FC

or, AC= EB+EB+BF+BF

a = 2 (EB+BF), or, a/2 = EB+BF

Distance between E and F is given by

EF = EB+BF, then

EF = a/2

Hence, the correct answer is - EF= a/2