The centroid of a triangle is (2, 7) and two of its vertices are (4, 80 and (-2, 6). The third vertex is

Question

Philoid · Accepted Answer

Let A(4, 8) and B(− 2, 6) be the given vertex. Let C (h, k) be the third vertex.

The centroid of △ABC is

It is given that the centroid of triangle ABC is (2, 7).

⇒ h = 4, k = 7

Thus, the third vertex is (4, 7).