Question

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

Answer 1

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((x1-x2)^2+(y1-y2)^2)` X1=19/3,X2=0,Y1=11/3,Y2=0
substitute to get the answer as 8.945(approx)