Question

A triangle has corners at `(4 ,3 )`, `(8 ,6 )`, and `(7 ,1 )`. How far is the triangle's centroid from the origin?

Answer 1

`d = sqrt(461)/3`

Explanation:

The centroid (h, k) is

`h = (4 + 8 + 7)/3 = 19/3`

`k = (3 + 6 + 1)/3 = 10/3`

The distance, d, is:

`d = sqrt((19/3)^2 + (10/3)^2)`

`d = sqrt(461)/3`