Answer:
[tex]BD = 14\ in[/tex]
[tex]CD = 28\ in[/tex]
Step-by-step explanation:
Given
CB = 14in
B as midpoint
Required
Determine CD and BD
Since B is the midpoint, then the two line segments (CB and BD), we have the following relationships:
[tex]CB = BD[/tex]
[tex]CD = CB + BD[/tex]
Reorder the first equation
[tex]BD = CB[/tex]
Substitute 14 for CB
[tex]BD = 14\ in[/tex]
Taking the second equation into consideration
[tex]CD = CB + BD[/tex]
[tex]CD = 14 + 14[/tex]
[tex]CD = 28\ in[/tex]
