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

##### 1 Answer

The centroid will move by about

#### Explanation:

We have a triangle with vertices or corners at the points

Let

Compute the centroid

Centroid

Compute the centroid of the bigger triangle (scale factor =5)

Let

the working equation:

solve for

solve for

Compute now the distance from centroid O(2/3, 5/3) to new centroid O'(34/3, -47/3).

God bless....I hope the explanation is useful..