# A triangle has corners at (4 ,4 ), (8 ,6 ), and (7 ,1 ). How far is the triangle's centroid from the origin?

Apr 15, 2016

8.945(approx)

#### Explanation:

centroid of a triangle with given points
[ (x1+x2+x3)/3 , (y1+y2+y3)/3]
where x1,x2,x3,y1,y2,y3 are the coordinates of the vertices o the triangle.
substituting will get u the centroid as (19/3,11/3)
now the distance from the origin (0,0) will be
$\sqrt{{\left(x 1 - x 2\right)}^{2} + {\left(y 1 - y 2\right)}^{2}}$ X1=19/3,X2=0,Y1=11/3,Y2=0
substitute to get the answer as 8.945(approx)