Question

Find the centroid of the triangle formed by the lines x=0 , y=0 and x+y=9.

Answer 1

Let the triangle formed by the given lines be ABC.
The coordinates of A are (0, 0). [intersection of x = 0 and y = 0]
The coordinates of B are (9, 0) [intersection of x + y = 9 and y = 0]
and the coordinates of C are (0, 9) [intersection of x = 0 and x + y = 9]
$[\frac{(0+9+0)}{3},\frac{(0+9+0)}{3}]$
$=[3,3]$