Question

What are the coordinates of the centroid of a triangle with vertices X(−4, 0) , Y(−1, 4) , and Z(2, 2) ?

Answer 1

`\bf \qquad \textit{Centroid of a Triangle}\\\\ \begin{array}{llll} A(x_1,y_1)\quad B(x_2,y_2)\quad C(x_3,y_3)\\ \quad \\ \left(\cfrac{x_1+x_2+x_3}{3}\quad ,\cfrac{y_1+y_2+y_3}{3}\quad \right) \end{array}\\\\ -------------------------------\\\\ \begin{array}{llll} x(-4,0)\qquad y(-1,4)\qquad z(2,2)\\ \quad \\ \left(\cfrac{-4-1+2}{3}\quad ,\cfrac{0+4+2}{3}\quad \right) \end{array}`