Question

In ΔPQR, point C is the centroid. If XR = 18, then RC =

Answer 1

the correct answer is 12

Answer 2

Alright, lets get started.

First of all , I want to mention, there is diagram missing with the question, so I have attached a diagram, please refer.

As per the property of centroid, the centroid divides each median in the ratio 2:1.

`(RC)/(CX)= (2)/(1)`

Cross multiplying

`RC = 2 CX` or say
`CX =(RC)/(2)`

`XR = RC + CX`

`18 = RC + (RC)/(2)`

`18=1.5 RC`

`RC =(18)/(1.5) = 12`

RC = 12 : Answer

Hope it will help :)