A triangle has corners at (6 ,6 ), (7 ,4 ), and (5 ,2 ). How far is the triangle's centroid from the origin?
1 Answer
Explanation:
Centroid Formula is
C = ((x_1+x_2+x_3)/3, (y_1+y_2+y_3)/3) where
In our triangle,
(x_1, y_1) = (6,6)
(x_2,y_2) = (7,4)
(x_3,y_3) = (5,2)
The centroid coordinates are
C = ((6+7+5)/3, (6+4+2)/3) => (18/3, 12/3) => (6,4)
Distance from origin
D = sqrt(6^2+4^2)
=sqrt (36+16)
= sqrt 52