The lengths of the sides of a triangle are in the extended ratio 5?: 9?: 10. The perimeter of the triangle is 48 cm. What are the lengths of the? sides?

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!

A=10, B=18, C=20 are the lengths of the sides