Question

Find the co-ordinates of the point of intersection of the medians of the triangle whose vertices are A(–7, 5), B(–1, –3) and C(5, 7).

[Hint. Find the centroid of \(\triangle A B C\).]

Answer 1

The medians of a triangle meet at the centroid.

$$G = \left(\frac{-7 + (-1) + 5}{3}, \frac{5 + (-3) + 7}{3}\right)$$

$$= \left(\frac{-3}{3}, \frac{9}{3}\right)$$

$$= (-1, 3)$$

Hence the medians meet at $$(-1, 3)$$.