What is the centroid of a triangle with corners at (3, 2 ), (5,5 ), and (12 , 9 )?

1 Answer
Jan 16, 2016

The centroid = (20)/3 , (16)/3

Explanation:

The corners of the triangle are
(3,2) = color(blue)(x_1,y_1
(5,5) = color(blue)(x_2,y_2
(12,9) = color(blue)(x_3,y_3

The centroid is found using formula

centroid = (x_1+x_2+x_3)/3 , (y_1+y_2+y_3)/3

= (3+5+12)/3 , (2+5+9)/3

= (20)/3 , (16)/3