Answer:
DC = 4
CM = 2
Step-by-step explanation:
Remark
The centroid is located at the intersection point of all three medians of a triangle. The centroid is divides the median into a ratio of 2 to 1. The 1 is located closest to the intersection point of the median and the side opposite the vertex which is the starting point of the median.
In this particular triangle CM<DC
Givens
DC + CM = 6
CM <DC Labeled.
Set up Proportion
1:3 :: MC : (DC + CM)
1:3 :: MC : 6
1/3 = MC/6 Cross Multiply
3*MC = 6 Divide by 3
MC = 6/3 Divide
Answer
MC = 2
DC = 6 -2 = 4
