'O' is the centroid of ABC. If AP= 15, find OP.

OP = 5 units

Step-by-step explanation:

Centroid of a triangle divides the median in the ratio 2 : 1

Therefore,

AO : OP = 2: 1

Let AO = 2x and OP = x

Since, AO + OP = AP

So, 2x + x = 15

3x = 15

x = 15/3

x = 5

Since, OP = x

Therefore, OP = 5