What is the centroid of a triangle with corners at #(4,1 )#, #(6,3 )#, and #(5 , 1 )#?

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Answer 1 · 2016-01-22T14:34:07

#(5,5/3)#

Given the 3 vertices of a triangle in 2 dimensions, its centroid is found in this way
#((x_1+x_2+x_2)/3,(y_1+y_2+y_3)/3)#

In case,
#((4+6+5)/3,(1+3+1)/3)#
#(15/3,5/3)=(5,5/3)#