# A triangle has corners at (4 ,9 ), (3 ,7 ), and (7 ,2 ). How far is the triangle's centroid from the origin?

##### 1 Answer
Jan 10, 2018

Distance of centroid from origin is $\textcolor{red}{7.6}$

#### Explanation:

Coordinates of centroid
$x = \frac{x 1 + x 2 + x 3}{3} = \frac{4 + 3 + 7}{3} = \frac{14}{3}$

y = (y1 + y2 + y3/3 = (+7+2)/3 = 6

Distance of centroid from origin is

$d = \sqrt{{\left(\frac{14}{3}\right)}^{2} + \left({6}^{2}\right)} \approx \textcolor{red}{7.6}$