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

1) Due to the Centroids Theorem we can say that:

AP=2/3AE

AP=2/3*21

∴AP=14

2) Finally, AE =AP+AE

21=14+7 ⇒21=21 True

AP =2PE verifies the Theorem too.

So, the size is 14 .

$AP=14\:u$