A triangle has corners at (6 ,4 ), (7 ,5 ), and (1 ,2 ). How far is the triangle's centroid from the origin?
1 Answer
Jun 26, 2016
5.935
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) = (6,4)
(x_2,y_2) = (7,5)
(x_3,y_3) = (1,2)
The centroid coordinates are
C = ((6+7+1)/3, (4+5+2)/3) => (14/3, 11/3)
Distance from origin
D = sqrt((14/3)^2+(11/3)^2)
=(sqrt (4.67^2+3.67^2))
= sqrt 35.222
=5.935