For line AC shown below, B is on line segment AC, the length of AB is 12 cm, and the length of line segment BC is 20 cm. What is the distance, in centimeters, between C and the midpoint of line segment AB?

26 cm

Step-by-step explanation:

Given that: AB = 12 cm, BC = 20 cm.

Therefore, AC = 32 cm

Let the midpoint of the line segment AB be represented by D.

The midpoint of the line segment AB =

                                                  = 6 cm

This shows that AD = DB = 6 cm

So that,

the distance between C and the midpoint of the line segment AB = DB + BC

                                                   = 6 + 20

                                                   = 26 cm

The distance required is 26 cm.