Question

A(– 4, 2), B(6, 4) and C(2, – 2) are the vertices of $$\triangle \mathrm{ABC}$$. Find the co-ordinates of centroid of $$\triangle \mathrm{ABC}$$.

Answer 1

Centroid $$\mathrm{G}(x, y)$$ of $$\triangle \mathrm{ABC}$$:

$$x = \frac{-4 + 6 + 2}{3} = \frac{4}{3}$$

$$y = \frac{2 + 4 + (-2)}{3} = \frac{4}{3}$$

So, Centroid = $$\left(\frac{4}{3}, \frac{4}{3}\right)$$.