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The sides of a triangle are in the ratio 5:12:13. What is the length of each side of the triangle if the perimeter of the triangle is 15 in?

  • algebra -

    Let a side have ratio value 5.
    Let b side have ratio value 12.
    Let c side have ratio value 13.
    add the ratios of the sides:
    5 + 12 + 13 = T

    It is given that the perimeter (all sides added) is 15 inches. The length of each side has the same relationship to its ratio as the perimeter does to the ratio total.
    a/5 = 15/T
    b/12 = 15/T
    c/13 = 15/T

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