If (-2, 3), (4, -3) and (4, 5) are the mid-points of the sides of a triangle, find the coordinates of its centroid.

Question

Philoid · Accepted Answer

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, )