If (-2, 3), (4, -3) and (4, 5) are the mid-points of the sides of a triangle, find the coordinates of its centroid.
We know that centroid of ∆DEF will be the same that of ∆ABC as ∆DEF is formed by midpoints of ∆ABC.
∴ We know that centroid of a triangle for (x1 , y1), (x2 , y2) and (x3 , y3) is
G(x, y) = ( ,
)
∴ G(x, y) = ( ,
)
∴ G(x, y) = ( 2, )
Hence the centroid is ( 2, )