What is the centroid of a triangle with corners at #(5 , 7 )#, #(3 , 5 )#, and #(6 , 2 )#?

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Answer 1 · 2016-01-16T17:25:01

The centroid #=(14/3 , 14/3)#

The coordinates of the vertices of the triangle are

#(5,7) = color(blue)(x_1,y_1#

#(3,5) = color(blue)(x_2,y_2#

#(6,2) = 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#

#=(5+3+6)/3 , (7+5+2)/3#

#=14/3 , 14/3#