Question

The coordinates of the middle points of the sides of a triangle are (4, 2) (3, 3) and (2, 2) then the coordinates of its centroid are

(1) (3, 7/3) 

(2) (3, 3) 

(3) (4, 3)

(4) None of these

Answer 1

(1) (3, 7/3)

Explanation

Let A (–36, 7), B (20, 7) C(0, –8) be the triangle Then a = BC = 25, b = CA = 39 and c = AB = 56.

Therefore, the coordinates of the incentre are

or (-1, 0)