is a triangle whose side lengths are cm, cm, and cm. If and the perimeter of cm, find the side lengths of .
The perimeter of is cm.
Use the fact that the ratio of the perimeter of to the perimeter of is equal to ,
and the scale factor of similarity of with respect to to calculate .
Now multiply each of the side lengths of by to determine the side lengths of .
Thus, the side lengths of are cm, cm, and cm.