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Artemon [7]
4 years ago
5

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?

Mathematics
1 answer:
rodikova [14]4 years ago
5 0

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

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