# A triangle has corners at (5 ,3 ), (9 ,2 ), and (6 ,7 ). How far is the triangle's centroid from the origin?

$\frac{\sqrt{544}}{3}$
The coordinates of the centroid would be $\left(\frac{5 + 9 + 6}{3} , \frac{3 + 2 + 7}{3}\right)$ or $\left(\frac{20}{3} , 4\right)$
Distance from the origin would be $\sqrt{{\left(\frac{20}{3}\right)}^{2} + {4}^{2}} = \sqrt{\frac{544}{9}} = \frac{\sqrt{544}}{3}$