Question

The coordinates of the mid-points of the sides of a triangle are (4, 2), (3, 3) and (2, 2). What will be the coordinates of the centroid of the triangle?

(A) (3, 7/3)

(B) (-3, -7/3)

(C) (3, -7/3)

(D) (-3, 7/3)

Answer 1

The correct option is: (A) (3, 7/3)

Explanation:

Let PQR be a triangle and A (4,2), B (3,3) and C (2,2) be the mid-points of sides PQ, PR and QR respectively. Now, G is the centroid of triangle PQR. Also, G (x, y) is the centroid of triangle formed by joining A, B and C.

=> G = (3, 7/3)