A triangle has corners at #(3 ,5 )#, #(4 ,7 )#, and #(1 ,8 )#. How far is the triangle's centroid from the origin?

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A triangle has corners at #(3 ,5 )#, #(4 ,7 )#, and #(1 ,8 )#. How far is the triangle's centroid from the origin?

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Answer 1 · 2016-10-17T05:39:08

Distance = #sqrt464/3=7.18#

Explanation:

The centroid is at #((3+4+1)/3,(5+7+8)/3)# = #(8/3,20/3)#
So the distance of the centroid from the origin is
#sqrt(64/9+400/9)#=#sqrt(464/9)=sqrt464/3=7.18#

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A triangle has corners at #(3 ,5 )#, #(4 ,7 )#, and #(1 ,8 )#. How far is the triangle's centroid from the origin?

1 Answer

Explanation:

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