Question

In triangle DEF, C is the centroid. If DM=33, Find DC and CM

Answer 1

DC is 22

CM is 11

Explanation:

when a line is divided by a centroid, there is a ration of 2:1 for the segments

this means that DC is the same length as 2 CM

and so we know that DM can be divided into 3 equal parts

we also know that DM is 33 units

so divide 33 units by 3 and you get 1 part that is equal to 11

this means that CM is 11

since DC is 2CM, multiply 11 by 2 to find DC

you get DC is 22