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

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Answer 1 · 2017-04-30T07:22:00

The centroid is #=(3,4)#

Let #ABC# be the triangle

#A=(x_1,y_1)=(1,4)#

#B=(x_2,y_2)=(3,5)#

#C=(x_3,y_3)=(5,3)#

The centroid of triangle #ABC# is

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

#=((1+3+5)/3,(4+5+3)/3)#

#=(9/3,12/3)#

#=(3,4)#