What is the centroid of a triangle with corners at (2, 7 ), (1,5 ), and (7 , 5 )?

1 Answer
Jan 10, 2016

Centroid is (10/3,17/3)

Explanation:

For triangle with vertices (x_1,y_1), (x_2,y_2) and (x_3,y_3)
The centroid G(x,y) where formula to find x and y is given by

x=(x_1+x_2+x_3)/3 and y=(y_1+y_2+y_3)/3

Now let us apply this to our problem.

Vertices are given as (2,7),(1,5) and (7,5)

x_1=2, y_1=7

x_2=1, y_2=5

x_3=7,y_3=5

x=(2+1+7)/3 and y=(7+5+5)/3
x=10/3 and y=17/3

Centroid G(x,y) = (10/3,17/3)