A triangle has corners at #(7 ,6 )#, #(4 ,4 )#, and #(6 ,7 )#. How far is the triangle's centroid from the origin?

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Answer 1 · 2017-03-01T14:40:09

The distance is #=8.01#

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The 3 corners of the triangle is #(7,6)#, #(4,4)#, and #(6,7)#

The centroid is

#x_c=(7+4+6)/3=17/3#

#y_c=(6+4+7)/3=17/3#

The distance of the centroid from the origin is

#d=sqrt((17/3)^2+(17/3)^2)#

#=17/3sqrt2#

#=8.01#