Question

HELP QUICKKKKK:Point B lies on the segment AC whose length AC = a cm. Find the distance between the midpoints of segments AB and BC .

Answer 1

Look at the file to see the answer and the explanation.

Answer 2

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,
`AE=EB`

`BF=FC`

`AC=AE+EB+BF+FC=EB+EB+BF+BF`

`a=2EB+2BF`

`2(EB+BF)=a`

`EB+BF=(a)/(2)`

Distance between E and F is given by

`EF=EB+BF`

`EF=(a)/(2) cm`

Hence, the distance between the midpoints of segment AB and BC is given by

`EF=(a)/(2) cm`