A triangle has corners at #(1 ,4 )#, #(3 ,4 )#, and #(6 ,2 )#. How far is the triangle's centroid from the origin?

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Answer 1 · 2017-03-21T20:57:23

#"Answer l="10/3sqrt 2=4.7" "units.#

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#"Let P(x,y) be triangle's centroid ."#

#"The coordinates of centroid can be calculated the formula"# #"given below."#

#P(x,y)=((x_A+x_B+x_C)/3,(y_A+y_B+y_C)/3)#

#P(x,y)=((1+3+6)/3,(4+4+2)/3)#

#P(x,y)=(10/3,10/3)#

#"Distance from The point O(0,0) :"#

#l=sqrt((10/3)^2+(10/3)^2)#

#l=sqrt(100/9+100/9)#

#l=sqrt((2*100)/9)#

#l=10/3sqrt(2)=4.7#