Points are said to be collinear if they are on the same line. The possible lengths of CD are 31.6cm and 12.6cm
Given that:
[tex]CE=22.1cm[/tex]
[tex]DE = 9.5cm[/tex]
If E is between C and D, then:
[tex]CD =CE + DE[/tex]
So, we have:
[tex]CD =22.1cm + 9.5cm[/tex]
[tex]CD =31.6cm[/tex]
Another possible scenario is:
If D is between C and E, then:
[tex]CE = CD + DE[/tex]
Make CD the subject
[tex]CD = CE - DE[/tex]
So, we have:
[tex]CD = 22.1cm -9.5cm[/tex]
[tex]CD = 12.6cm[/tex]
Hence, the possible values of CD are 31.6cm and 12.6cm
Read more about collinear points at:
https://brainly.com/question/1593959
