Question

A triangle has corners at `(2 ,9 )`, `(4 ,8 )`, and `(4 ,3 )`. How far is the triangle's centroid from the origin?

Answer 1

Distance from the origin = 7.4536

Explanation:

Centroid coordinates
`x = (x_1 + x_2 + x_3)/3 = (2+4+4)/3 = 10/3`
`y = (y_1 + y_2 + y_3)/3 = (9+8+3)/3 = 20/3`

Distance from origin `= sqrt(x^2 + y^2) = sqrt ((10/3)^2 + (20/3)^2) =7.4536`