What is the centroid of a triangle with corners at #(9 , 5 )#, #(6 , 0 )#, and #(2 , 3 )#?

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Answer 1 · 2016-10-10T00:43:18

The centroid is located at #(17/3,8/3)#.

The centroid of a triangle is the intersection of the medians and is found with this formula:

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

where #(x_1, y_1)#, #(x_2,y_2)# and #(x_3,y_3)# are the vertices of the triangle.

In this example, the vertices are #(9,5), (6,0), (2,3)#

The centroid is

#((9+6+2)/3, (5+0+3)/3)= (17/3, 8/3)#