The vertices of Δ ABC are A(−7, 6), B(2, −2) and C(8, 5). Complete the following activity to find the co-ordinates of the centroid G of Δ ABC.Solution :Let \(A(x_1, y_1) = (-7, 6)\), \(B(x_2, y_2) = (2, -2)\), \(C(x_3, y_3) = (8, 5)\).By the centroid…

Q.3 (A)(2) The vertices of Δ ABC are A(−7, 6), B(2, −2) and C(8, 5). Complete the following activity to find the co-ordinates of the centroid G of Δ ABC.

Solution :

Let \(A(x_1, y_1) = (-7, 6)\), \(B(x_2, y_2) = (2, -2)\), \(C(x_3, y_3) = (8, 5)\).
By the centroid formula,
\(x = \dfrac{x_1 + x_2 + x_3}{3} = \dfrac{-7 + 2 + 8}{3} = \dfrac{\text{____}}{3} =\) ____
\(y = \dfrac{\text{____}}{3} = \dfrac{6 - 2 + 5}{3} = \dfrac{\text{____}}{3} =\) ____
\(\therefore\) G = ( ____ , ____ )