Respuesta :

9514 1404 393

Answer:

  24 cm

Step-by-step explanation:

The perimeter of the left-side triangle is ...

  20 +25 +15 = 60 cm

The scale factor to the right-side triangle is the ratio of corresponding sides. The scale factor of perimeters is the same.

  XZ/LN = perimeter(XYZ)/perimeter(LMN)

  6/15 = P/(60 cm)

  P = (60 cm)(6/15) = 24 cm

The perimeter of ΔXYZ is 24 cm.