Question

The vertices of ΔABC have coordinates as - A(4, 3), B(2, 1) and C(0, 2). Find the coordinates of centroid of ΔABC. 
1. (1, 3)
2. (2, 2)
3. (3, 2)
4. (0, 0)

Answer 1

Correct Answer - Option 2 : (2, 2)

Given:

Vertices of ΔABC are -

A(4, 3), B(2, 1) and C(0, 2).

Concepts used:

Coordinate of centroid with coordinates of vertices being A(x,y), B(a,b), C(p,q) is {(x + a + p)/3, (y + b + q)/3}.

Calculation:

Let the centroid of ΔABC be G.

Coordinate of the centroid, G with coordinates of vertices of ΔABC being A(4,3), B(2,1) and C(0,2) is -

G{(4 + 2 + 0)/3, (3 + 1 + 2)/3}

⇒ G{6/3, 6/3}

⇒ G{2,2}

∴ The coordinate of the centroid is (2, 2).