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An isosceles triangle has legs that are each x inches long a base that is y inches long. The perimeter of this triangle is 38 inches. The base is 8 inches shorter than the length of a leg.

  • Math, not Summer Creek -

    2x + y = 38 -----> y = 38-2x

    the base is 8 inches shorter than the length of a leg
    y = x-8

    x-8 = 38-2x
    3x = 46
    x = 46/3 inches
    then y = 38 - 92/3 = 22/3 inches


    check:
    perimeter = 2x+y = 92/3+22/3 = 38
    difference between leg and base
    = 46/3 - 22/3 = 8

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