C.9
D.36
No Guessing and Please show work

The centroid is 1/3 the distance from any side to the opposite vertex (along the median). That is, the centroid divides the median into parts with the ratio (1/3):(2/3) = 1:2. Then QE = (1/2)AQ, so
... QE = (1/2)·18 = 9 . . . . matches selection C.