Question

P is the centroid of triangle ABC. AE = 21, CD = 14, and BF = 11.

What is the length of AP?

Answer 1

Answer:

  AP = 14

Step-by-step explanation:

The centroid divides each median into segments in the ratio 2:1. AP is 2/3 of AE, so is ...

  AP = (2/3)(21)

  AP = 14

Answer 2

Answer:

14

Step-by-step explanation:

PE = ⅓(AE) = ⅓(21) = 7

AP = AE - PE

AP = 21 - 7 = 14