What are the co-ordinates of the centroid of a triangle, whose vertices are A(2, 5), B(-4, 0) and C(5, 4)?

Solution (By Examveda Team)

$$\eqalign{ & {\text{Coordinates of centroid of a }}\Delta \cr & \Rightarrow \left( {\frac{{{x_1} + {x_2} + {x_3}}}{3},\,\frac{{{y_1} + {y_2} + {y_3}}}{3}} \right) \cr & \Rightarrow \left( {\frac{{2 + \left( { - 4} \right) + 5}}{3},\,\frac{{5 + 0 + 4}}{3}} \right) \cr & \Rightarrow \left( {1,\,3} \right) \cr} $$