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jcherry99
Comment
The only way I can envision this is put all 4 points on 1 line segment. They go in the order of ADCB. I can only draw it this one way.

Given
D is the midpoint of AC
C is the midpoint of DB
AC = 3 cm

Argument
AC = 3 cm           Given
AD = DC                       D is the midpoint of AC
AD = 3/2                       Definition of a midpoint.
DC = 3/2                       Definition of a midpoint

DC = 3/2                       Last statement
DC + CB = 1.5 + 1.5.   C is the midpoint of BD
DB = 3                          Consolidation of equals
AD + DB = AB               
1.5 + 3 = 4.5                 Substitution.


ashishdwivedilVT

The length of the segment AB is 4.5cm.

it is given that:

AC = 3 cm

D is the midpoint of AC

C is the midpoint of DB

What is a line segment?

A line segment is a part of a line that is bounded by two distinct endpoints and contains every point on the line that is between its endpoints.

So, AD=DC=3/2 =1.5

DC=CB=1.5

The arrangement will be like this:

A-----------D------------C-------------B

      1.5           1.5            1.5

So, length of segment AB will be 1.5+1.5+1.5 =4.5cm

Therefore, the length of the segment AB is 4.5cm.

To get more about lines and line-segment visit:

https://brainly.com/question/16089102