Answer:
The coordinate of the centroid with the given vertices is (3, 4)
Explanation:
Given the following points:
A(0, 8), B(6, 4), and C(3, 0)
We have:
[tex]\begin{gathered} x_1=0 \\ y_1=8 \\ x_2=6 \\ y_2=4 \\ x_3=3 \\ y_3=0 \end{gathered}[/tex]The coordinates of the centroid is given as:
[tex](\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})[/tex]Which is:
[tex]\begin{gathered} (\frac{0+6+3_{}}{3},\frac{8+4+0}{3}) \\ \\ =(\frac{9}{3},\frac{12}{3}) \\ \\ =(3,4) \end{gathered}[/tex]