What is the centroid of a triangle with corners at #(9 , 2 )#, #(4 , 6 )#, and #(5 , 8 )#?

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Answer 1 · 2016-01-11T16:35:27

The centroid is
#((18)/3 , 16/3)#

The coordinates for the vertices of the triangle are:

#(9,2) , (4,6) , (5,8)#
#color(blue)((x_1,y_1)(x_2,y_2)(x_3,y_3)#

The formula for centroid of a triangle is
#color(green)((x_1+x_2+x_3)/3 , (y_1+y_2+y_3)/3#

#(9+4+5)/3 , (2+6+8)/3#

The centroid is
#((18)/3 , 16/3)#