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

Question

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

1 Answer

Impact of this question

1045 views around the world

You can reuse this answer
Creative Commons License

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#

Science

Math

Humanities

... and beyond

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:

Related questions

Impact of this question