What is the centroid of a triangle with corners at #(3, 2 )#, #(5,5 )#, and #(12 , 9 )#?

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Answer 1 · 2016-01-16T17:34:24

The centroid # = (20)/3 , (16)/3#

The corners of the triangle are
#(3,2) = color(blue)(x_1,y_1#
#(5,5) = color(blue)(x_2,y_2#
# (12,9) = color(blue)(x_3,y_3#

The centroid is found using formula

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

# = (3+5+12)/3 , (2+5+9)/3#

# = (20)/3 , (16)/3#