# A triangle has corners at (3 ,5 ), (4 ,7 ), and (1 ,8 ). How far is the triangle's centroid from the origin?

Distance = $\frac{\sqrt{464}}{3} = 7.18$
The centroid is at $\left(\frac{3 + 4 + 1}{3} , \frac{5 + 7 + 8}{3}\right)$ = $\left(\frac{8}{3} , \frac{20}{3}\right)$
$\sqrt{\frac{64}{9} + \frac{400}{9}}$=$\sqrt{\frac{464}{9}} = \frac{\sqrt{464}}{3} = 7.18$