Question

in △def, c is the centroid.
if cm = 27. find dc and cm
dc = □ units

Explanation:

Step1: Recall centroid property

The centroid of a triangle divides each median in a ratio of \(2:1\). That is, if \(C\) is the centroid and \(DM\) is a median, then \(DC = 2CM\).

Step2: Substitute the value of \(CM\)

Given \(CM = 27\). Using the ratio \(DC = 2CM\), we substitute \(CM = 27\) into the formula. So \(DC=2\times27\).

Answer:

\(DC = 54\) units