Answer:
39 cm
Step-by-step explanation:
Given
ΔABC and ΔA'B'C'
B = 5 cm
B' = 15 cm
Perimeter ΔABC = 13 cm
Required
Determine the perimeter of ΔA'B'C
[Since ΔABC is dilated to give ΔA'B'C', the first step is to get the scale factor.]
Scale Factor = ΔA'B'C ÷ ΔABC
[Using side B and B' as points of reference]
Scale Factor = B' ÷ B
[Substitute values for B' and B]
Scale Factor = 15 ÷ 5
Scale Factor = 3
[The perimeter of ΔA'B'C' is then calculated as:]
Perimeter ΔA'B'C'= Scale Factor * Perimeter of ΔABC
ΔA'B'C = 3 * 13 cm
ΔA'B'C = 39 cm
