Question

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

Answer 1

Distance of centroid from origin is `color(red)(7.6)`

Explanation:

Coordinates of centroid
`x = (x1 + x2 + x3)/3 = (4+3+7)/3 = 14/3`

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

Distance of centroid from origin is

`d = sqrt((14/3)^2 + (6^2)) ~~ color (red)(7.6)`