How to find the centroid of a triangle with coordinates

Asked by admin @ in Mathematics viewed by 313 People

What are the coordinates of the centroid of a triangle with vertices A(−6, 0) , B(−4, 4) , and C(0, 2) ? Enter your answers in the boxes.

Answered by admin @


\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}
A(-6,0)\quad B(-4,4)\quad C(0,2)\\ \quad \\
\left(\cfrac{-6-4+0}{3}\quad ,\cfrac{0+4+2}{3}\quad \right)
\end{array}

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