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12 September, 17:41

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?

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Answers (2)
  1. 12 September, 17:50
    0
    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!
  2. 12 September, 17:53
    0
    A=10, B=18, C=20 are the lengths of the sides
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