Question

A triangle has corners at `(4 ,7 )`, `(2 ,6 )`, and `(3 ,8 )`. How far is the triangle's centroid from the origin?

Answer 1

The distance from the origin is `sqrt(58)`

Explanation:

Let O = the centroid point, `(O_x, O_y)`

`O_x = (4 + 2 + 3)/3 = 3`

`O_y = (7 + 6 + 8)/3 = 7`

The distance, d, from the origin is:

`d = sqrt((3 - 0)^2 + (7 - 0)^2)`

`d = sqrt(58)`