Question

Find the centroid of the region.

The triangle with vertices (0, 0), (2, 0), and (0, 1).

Answer 1

$x_{0}=\frac{x_{1}+x_{2}+x_{3}}{3}, y_{0}=\frac{y_{1}+y_{2}+y_{3}}{3}$

$x_0 = \frac{0+0+2}{3}=\frac{2}{3}, y_0=\frac{0+0+1}{3}=\frac{1}{3}$