A triangle has corners at (1 ,4 ), (7 ,6 ), and (4 ,5 ). How far is the triangle's centroid from the origin?
1 Answer
Jun 27, 2016
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) = (1,4)
(x_2,y_2) = (7,6)
(x_3,y_3) = (4,5)
The centroid coordinates are
C = ((1+7+4)/3, (4+6+5)/3) => (12/3, 15/3) =>(4,5)
Distance from origin
D = sqrt((4)^2+(5)^2)
=sqrt (16+25)
= sqrt 41