What is the centroid of a triangle with corners at #(1 , 1 )#, #(6 , 2 )#, and #(2 , 5 )#? Geometry Special Properties and Parts of Triangles Medians and Centroids 1 Answer mason m Jan 22, 2016 #(3,8/3)# Explanation: The #x#-coordinate of the centroid is simply the average of the #x#-coordinates of the triangle's vertices. The same logic is applied to the #y#-coordinates for the #y#-coordinate of the centroid. #"centroid"=((1+6+2)/3,(1+2+5)/3)=(9/3,8/3)=(3,8/3)# Answer link Related questions What is the centroid of a triangle with corners at #(5, 1)#, #(4, 9)#, and #(7,2)#? What is the centroid of a triangle with corners at #(5, 2 )#, #(2, 5)#, and #(7,2)#? What is the centroid of a triangle with corners at #(5, 2 )#, #(2, 5 )#, and #(5,3 )#? What is the centroid of a triangle with corners at #(1, 4 )#, #(3, 5 )#, and #(5,3 )#? What is the centroid of a triangle with corners at #(1, 1 )#, #(3, 2 )#, and #(8 , 6 )#? What is the centroid of a triangle with corners at #(6, 1 )#, #(2, 2 )#, and #(1 , 6 )#? What is the centroid of a triangle with corners at #(3, 1 )#, #(5, 2 )#, and #(12 , 6 )#? What is the centroid of a triangle with corners at #(3, 2 )#, #(5,5 )#, and #(12 , 9 )#? What is the centroid of a triangle with corners at #(3, 2 )#, #(1,5 )#, and #(0 , 9 )#? What is the centroid of a triangle with corners at #(2, 7 )#, #(1,5 )#, and #(7 , 5 )#? See all questions in Medians and Centroids Impact of this question 2836 views around the world You can reuse this answer Creative Commons License