Question

A triangle has corners at `(6 ,7 )`, `(2 ,6 )`, and `(1 ,5 )`. How far is the triangle's centroid from the origin?

Answer 1

Distance between centroid and origin is
d = sqrt5 = 2.2361

Explanation:

Coordinates of centroid:
`x = (x1 + x2 + x3)/3, y = (y1 + y2 + y3)/3`

`x = (6+2+1)/3=3`
`y = (7+6+5)/3 = 2`
Coordinates of centroid of the triangle (1,2)#

Coordinates of origin (0,0).
Distance between centroid and origin is
`d = sqrt((1-0)^2+(2-0)^2) = sqrt5 = 2.2361`