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

##### 1 Answer

centroid G has moved by a distance of

#### Explanation:

Given : A(5,2), B(2,4), C = (3,8), D(2,3)#

Dilated around D and by a factor of 3

To find the distance moved by the centroid

Coordinates of

Similarly,

and

Coordinates of

Using distance formula to find the distance between G & G',