# A triangle has corners at #(3 ,1 )#, #(1 ,-2 )#, and #(-4 ,-5 )#. If the triangle is dilated by a factor of #5 # about point #(7 ,-6 ), how far will its centroid move?

##### 1 Answer

Apr 21, 2018

#### Explanation:

The centroid is the center of mass of the triangle and is given by the average of the coordinates:

The distance from the centroid to the dilation point

The factor of five dilation means this will end up