What is the centroid of a triangle with corners at #(1, 1 )#, #(3, 2 )#, and #(8 , 6 )#?

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Answer 1 · 2016-01-22T14:54:40

The centroid is
#=(4,3)#

The coordinates of the vertices are
#(1,1) = color(blue)(x_1,y_1#
#(3,2) = color(blue)(x_2,y_2#
#(8,6) = color(blue)(x_3,y_3#

The centroid is calculated using formula :
centroid#=((x_1+x_2+x_3)/(3) , (y_1+y_2+y_3)/3)#

#=((1+3+8)/(3) , (1 + 2 +6)/3)#

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

#=(4,3)#