Question

In Upper Delta DEF​, the midpoint of the side opposite vertex D is M and the centroid is C. If DM is 60​, what are DC and​ CM?

Answer 1

Answer:

$\boxed{\boxed{DC=40,CM=20}}$

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, $DC=2CM$

Given that, the length of DM is 60​.

$\Rightarrow DM=60$

$\Rightarrow DC+CM=60$

$\Rightarrow 2CM+CM=60$

$\Rightarrow 3CM=60$

$\Rightarrow CM=20$

So, $DC=2CM=2\times 20=40$