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!!!

step-by-step explanation:

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