A triangle has corners at #(4 ,7 )#, #(2 ,3 )#, and #(5 ,8 )#. How far is the triangle's centroid from the origin?

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Answer 1 · 2017-06-10T09:41:36

The distance is #=7.03#

The centroid of the triangle is

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

#=((4+2+5)/3,(7+3+8)/3)#

#=(11/3,6)#

The distance of the centroid frm the origin is

#=sqrt((11/3)^2+(6)^2)#

#=7.03#