A triangle has corners at #(7 ,2 )#, #(4 ,3 )#, and #(5 ,1 )#. How far is the triangle's centroid from the origin?

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Answer 1 · 2017-12-04T19:33:58

#5.70units#

Find the centroid of the triangle

For Co-ordinates #(X1,Y1),(X2,Y2),(X3,Y3)#

Use formula #centroid(x,y)=((X1+X2+X3)/3,(Y1,Y2,Y3)/3)#

Therefore substitute the Co-ordinates and the centroid Co-ordinate would be #(16/3,2)#

Find distance from origin to the centroid by using pythagoras:

#Distance = sqrt((16/3)^2+2^2)#

#Distance=5.70units#