A triangle has corners at (2 ,4 ), (7 ,6 ), and (4 ,9 ). How far is the triangle's centroid from the origin?
1 Answer
Jun 27, 2016
= 7.67
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) = (2,4)
(x_2,y_2) = (7,6)
(x_3,y_3) = (4,9)
The centroid coordinates are
C = ((2+7+4)/3, (4+6+9)/3) => (13/3, 19/3)
Distance from origin
D = sqrt((13/3)^2+(19/3)^2)
D = sqrt((4.33)^2+(6.33)^2)
=sqrt (18.78 + 40.11)
= sqrt 58.89
= 7.67