Home > Geometry > Distance between Points

A triangle has corners at #(1 ,5 )#, #(9 ,2 )#, and #(6 ,7 )#. How far is the triangle's centroid from the origin?

Answer 1

Violet Aldrich

The distance of Centroid from origin is #7.087#

The centroid of a triangle whose vertices are #(x_1,y_1)#, (x_2,y_2)# and (x_3,y_3)# is given by

#((x_1+x_2+x_3)/3,(y_1+y_2+y_3)/3)#

Hence centrid of given triangle is #((1+9+6)/3,(5+2+7)/3)# or #(16/3,14/3)#.

and its distance from origin is

#sqrt((16/3)^2+(14/3)^2)=sqrt(256/9+196/9)=sqrt(452/9)=1/3xxsqrt452=1/3xx21.26=7.087#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Wyatt Anderson

The distance between the triangle's centroid and the origin is approximately 4.09 units.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.