Answer:
[tex]\boxed{\boxed{DC=40,CM=20}}[/tex]
Step-by-step explanation:
The midpoint of the side opposite vertex D is M. So DM is a median to the base EF.
We know that,
The centroid cuts every median in the ratio 2:1
Hence, [tex]DC=2CM[/tex]
Given that, the length of DM is 60.
[tex]\Rightarrow DM=60[/tex]
[tex]\Rightarrow DC+CM=60[/tex]
[tex]\Rightarrow 2CM+CM=60[/tex]
[tex]\Rightarrow 3CM=60[/tex]
[tex]\Rightarrow CM=20[/tex]
So, [tex]DC=2CM=2\times 20=40[/tex]
