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algebra

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The base of a triangle is 3cm grater than the height. The area is 14cm^2. Find the height and length of the base. Please show how you dervied at your answer.

  • algebra - ,

    h = x-cm
    b = (x + 3) cm
    A = 14 cm^2

    A = h * b / 2,
    x(x + 3) / 2 = 14cm^2
    Multiply both sides by 2:,
    x(x + 3) = 28,
    x^2 + 3x = 28,
    x^2 + 3x - 28 = 0,
    Factor the trinomial:
    (x - 4) (x + 7) = 0,
    x + 7 = 0, x = - 7;
    x - 4 = 0 , x = 4 cm = h,
    x + 3 = 4 + 3 = 7 cm = b



































































































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