What is the centroid of a triangle with corners at #(1 , 3 )#, #(6 , 9 )#, and #(2 , 7 )#?

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Answer 1 · 2016-01-13T15:57:26

The centroid is

#= 3 , (19)/3#

The coordinates provided are
#(1,3) = color(blue)(x_1,y_1#
#(6,9) = color(blue)(x_2,y_2#
#(2,7) = color(blue)(x_3,y_3#

The formula required to find the centroid is as follows

centroid #=color(blue)[ (x_1+x_2+x_3)/3 , (y_1+y_2+y_3)/3]#

#= (1+6+2)/3 , (3 +9+7)/3#

#= (9)/3 , (19)/3#