# A triangle has corners at #(1 ,3 )#, #(7 ,7 )#, and #(8 ,5 )#. If the triangle is dilated by a factor of #2 # about point #(3 ,5 ), how far will its centroid move?

##### 1 Answer

Jan 4, 2018

let the centroid of the triangle =

Then,

Co-ordinate of

C

Let us consider centroid

Now, we can write,

Similarly

Therefore new centroid

Now,

The distance between the centroids is