Answer:
The correct answer is: a = 10 cm, b = 18 cm and c = 20 cm
Step-by-step explanation:
We will use triple proportion:
a : b : c = 5 : 9 : 10 from which is:
a = 5 k , b = 9 k and c = 10 k where k is coefficient of proportion.
Formula for perimeter is:
P = a + b + c
When we replace value for a = 5 k , b = 9 k and c = 10 k in the formula for P we get:
5 k + 9 k + 10 k = 48 => 24 k = 48 => k = 48/24 = 2
Finally we get:
a = 5 · 2 = 10 cm
b = 9 · 2 = 18 cm
c = 10 · 2 = 20 cm
God with you!!!
