Answer
$\overline{x}=\dfrac{1}{3} , \overline{y}=\dfrac{1}{3}$
Work Step by Step
The triangle with vertices $(0,0), (1,0), (0,1)$ has the x- coordinate $0$ a third of $(1,0)$ from the edge, which corresponds to the $y$-axis.
Also, the y-coordinate is a third of the distance of $(0,1)$, which corresponds to the $x$-axis.
This means that $\overline{x}=\dfrac{1}{3}$ and $\overline{y}=\dfrac{1}{3}$
