What is the centroid of a triangle with corners at #(5, 1)#, #(4, 9)#, and #(7,2)#?

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Answer 1 · 2016-01-15T23:56:12

#(16/3,4)#

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

In case,
#((5+4+7)/3,(1+9+2)/3)#
#(16/3,12/3)=(16/3,4)#