# A triangle has corners at #(8 ,3 )#, #(4 ,-6 )#, and #(-2 ,5 )#. If the triangle is dilated by a factor of #5 # about point #(4 ,-3 ), how far will its centroid move?

##### 1 Answer

#### Explanation:

When the vertices of the triangle are dilated by a factor of 5 about the point

The centroid can be found by taking the arithmetic mean of the x coordinates and the y coordinates.

We can dilate this using vectors:

Let

Let

Then:

Then dilating by a factor of 5:

Distance the centroid has moved can be found using the distance formula:

PLOT: