Question

In DEF, C is the centroid if DM=45 , find DC and CM



DC= ? Units

Answer 1

Answer:

DC=30

CM=15

Step-by-step explanation:

Given

Triangle DEF with C centroid

DM=45 (length of median)

centroid divides median in the ratio 2:1(larger side at vertex)

⇒

DC$=\frac{2}{3} \times DM=\frac{2}{3} \times 45= 2\times 15=30$

⇒DC=30

DC+ CM=DM

30+CM=45

⇒CM=15