Question

In ABC, segment BF is the angle bisector of ABC, Segments AE, BF, and CD are medians, and P is
the centroid.

Find x if DP = 4x – 3 and CP = 30.

Find y if AP = y and EP = 18

Answer 1

The centroid divides each median into two parts, in the ratio 2:1. So,

CP = 2*PD
2(4x-3) = 30
...