Find the centroid of the triangle whose vertices are:
(i) (1, 4), (-1, -1), (3, -2)
(ii) (- 2, 3), (2, -1), (4, 0)
(i) (1, 4), (-1, -1), (3, -2)
We know that centroid of a triangle for (x1 , y1), (x2 , y2) and (x3 , y3) is
G(x, y) = ( 
, 
)
∴For coordinates (1, 4), (-1, -1), (3, -2),
Centroid of triangle = 
, 
)
= ( 1, 
)
Hence, centroid of triangle is ( 1, 
)
(ii) (- 2, 3), (2, -1), (4, 0)
We know that centroid of a triangle for (x1 , y1), (x2 , y2) and (x3 , y3) is
G(x, y) = ( 
, 
)
∴For coordinates (- 2, 3), (2, -1), (4, 0)
Centroid of triangle = 
, 
)
= ( 
, 
)
Hence, centroid of triangle is ( 
, 
)
1