Home > Geometry > Medians and Centroids

What is the centroid of a triangle with corners at #(2 , 5 )#, #(4 ,7 )#, and #(2 , 7 )#?

Answer 1

Jayden Jackson

Centroid of the triangle is at #(8/3,19/3)#.

Centroid of a triangle with corners at #(x_1,y_1)#, #(x_2,y_2)# and #(x_3,y_3)# is given by

#(1/3xx(x_1+x_2+x_3),1/3xx(y_1+y_2+y_3))#

Click this to view proof.

Hence, centroid of the triangle with corners at #(2,5)#, #(4,7)# and #(2,7)# is

#(1/3xx(2+4+2),1/3xx(5+7+7))# or #(8/3,19/3)#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Parker Allen

The centroid of a triangle with corners at (2, 5), (4, 7), and (2, 7) is located at the point (8/3, 19/3).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.