Question

In triangle ABC, P is a centroid on a median AD. If AD=33 and AP>PD find AP

Answer 1

AP = 22

Explanation:

In a triangle, the centroid divides the median in the ratio 2:1.

It is given that AD is the median and AD = 33

It is also given that P is the centroid on the median AD.

Therefore, P divides AD in the ratio 2:1.

`(AP)/(PD) =(2)/(1)`

AP = 2k and PD = k

AD = 33

AP + PD = 33

2k + k = 33

3k = 33

k = 11

So, AP = 2k = 2(11) = 22