Question

A triangle has corners at `(4 ,1 )`, `(8 ,3 )`, and `(3 ,5 )`. How far is the triangle's centroid from the origin?

Answer 1

Triangle’s centroid is 5.83 away from origin.

Explanation:

Centroid
`G (x) = (x1 + x2 + x3) / 3 = (4+8+3)/3 = 5`

`G(y) = (y1 + y2 + y3)/3 = (1+3+5)/3 = 3`

Coordinates of centroid G is `(5,3)`

Distance from origin `d = sqrt(x^2 + y2) = sqrt(5^2 + 3^2) ~~ color(red)(5.83)`