Answer:
...the sides of a triangle have lengths of 9 cm, 11 cm and 16 cm. what is the perimeter of a similar triangle whose longest side measures 24 cm?
longest side of the initial triangle: 16cm
longest side of similar triangle: 24cm
magnification ratio: 24/16=3/2=1.5
to have the perimeter of the similar triangle we multiply the lengths of the 1st triangle by 1.5
initial triangle 9cm 11cm 16cm
similar triangle 9*1.5=13.5cm 11*1.5=16.5cm 16*1.5=24cm
Perimeter similar triangle = 13,5+16,5+24=54cm