Question

A triangle has corners at `(1 ,9 )`, `(3 ,8 )`, and `(4 ,5 )`. How far is the triangle's centroid from the origin?

Answer 1

Centroid `(8/3, 22/3)`
Distance from the centre `sqrt548 /3`

Explanation:

The coordinates of the centroid would be `(1+3+4)/3, (9+8+5)/3`, that is `(8/3, 22/3)`

Distance from the center (0,0) would be `sqrt((8/3)^2 +(22/3)^2)`

`sqrt(548/9)= sqrt 548/3`