What is the centroid of a triangle with corners at #(4 , 5 )#, #(3 , 8 )#, and #(7 , 2 )#? Geometry Special Properties and Parts of Triangles Medians and Centroids 1 Answer mason m Jan 22, 2016 #(14/3,5)# 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"=((4+3+7)/3,(5+8+2)/3)=(14/3,15/3)=(14/3,5)# 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 1947 views around the world You can reuse this answer Creative Commons License