Chapter: Co-ordinate Geometry· Mathematics Part 2 (Geometry)
Answer: Third vertex is (2, 6).
Let the third vertex be \((x, y)\). By centroid formula,
\(1 = \dfrac{-2 + 3 + x}{3}\) \(\therefore 3 = 1 + x\) \(\therefore x = 2\)
\(4 = \dfrac{5 + 1 + y}{3}\) \(\therefore 12 = 6 + y\) \(\therefore y = 6\)
\(\therefore\) The third vertex is (2, 6).