A triangle has corners at #(5 ,6 )#, #(2 ,7 )#, and #(3 ,4 )#. How far is the triangle's centroid from the origin?

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Answer 1 · 2016-11-26T20:01:44

#d=6.58" unit"#

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#A=(5,6)#

#B=(2,7)#

#C=(3,4)#

#"Centroid :"D(x,y)#

#x=(5+2+3)/3=10/3=3.33#

#y=(6+7+4)/3=17/3=5.67#

#D(3.33,5.67)#

#OD=d#

#d=sqrt((3.33-0)^2+(5.67-0)^2)#

#d=sqrt(3.33^2+5.67^2)#

#d=sqrt(11.09+32.15)#

#d=sqrt(43.24)#

#d=6.58#