Question

A triangle has corners at `(5 ,2 )`, `(4 ,6 )`, and `(3 ,8 )`. How far is the triangle's centroid from the origin?

Answer 1

The distance, `d = sqrt((4 - 0)^2 + (16/3 - 0)^2) = 20/3`

Explanation:

Please see this reference Coordinates of the centroid of a triangle

From the reference webpage, we see that the centroid, point `O = (O_x, O_y)`:

`O_x = (5 + 4 + 3)/3 = 4`

`O_y = (2 + 6 + 8)/3 = 16/3`

The distance from the center is:

`d = sqrt((4 - 0)^2 + (16/3 - 0)^2) = 20/3`