Question

The centroid of triangle whose side are x=0, y=0, x+y=2016 is

Answer 1

points of triangle which is form by
x =0 { y- axis } , y =0 { x -axis } and x+y =2016 are (0,0) (2016,0) and (0,2016)

now ,
use formula ,
if ( x1,y1) (x2, y2) and (x3,y3) are three given points of triangle .
then,
x co-ordinate of centroid =(x1+x2+x3)/3
and yco-ordinate =(y1+y2+y3)/3

now,
centroid of given points
= {(0 + 2016 +0)/3 , (0+0+2016)/3}
=(672,672)