Q1 of 149 Page 14

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 ( , )


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