Question

The midpoints of three sides of a triangle are (1, 2), (2, -3) and (3, 4). Find the centroid of the triangle. 

Answer 1

Let ABC be a triangle 

The midpoint of whose sides AC, AB and BC are D, E and F respectively. 

We know that the centroid of Δ DEF. Let G(x, y) be the centroid of  Δ ABC and Δ DEF 

Coordinates of centroid G are ,

G (x , y) = G `((1 + 3 + 2)/3 , (2 + 4 - 3)/3)`

= G (2 , 1)