What is the centroid of a triangle with corners at #(2 , 5 )#, #(4 , 9 )#, and #(3 , 3 )#?

Question

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Answer 1 · 2016-01-16T17:21:26

The centroid #=color(blue)((3 , (17)/3)#

The coordinates of the vertices are
#(2,5) = color(blue)(x_1,y_1#
# (4,9) = color(blue)(x_2,y_2#
# (3,3) = color(blue)(x_3, y_3#

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

#=(2+4+3)/3 , (5+9+3)/3#

#=(9)/3 , (17)/3#

#=color(blue)(3 , (17)/3#