What is the centroid of a triangle with corners at (3, 1 ), (5, 2 ), and (12 , 6 )?

1 Answer
May 16, 2016

Centroid of the triangle is(6 2/3,3)

Explanation:

The centroid of a triangle whose vertices are (x_1,y_1), (x_2,y_2) and (x_3,y_3) is given by

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

Hence centroid of the triangle formed by points (3,1), (5,2) and 12,6) is ((3+5+12)/3,(1+2+6)/3) or (20/3,3) or (6 2/3,3)

For detailed proof for the formula see here.