# A triangle has corners at (9 ,1 ), (2 ,4 ), and (5 ,8 ). How far is the triangle's centroid from the origin?

Sep 25, 2016

Add all of the x coordinates of vertices, divide by 3, square that number do the same with the y coordinates add the two together and take the square root.

#### Explanation:

d = sqrt(((9 + 2 + 5)/3)² + ((1 + 4 + 8)/3)²)

d = sqrt(((16)/3)² + ((13)/3)²)

d = sqrt(((16)/3)² + ((13)/3)²)

$d \cong 6.871$