Algebra

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Atriangle has a base that is twice its height minus 4 feet. if the area is 15 square feet, find the height and base of the triangle.

  • Algebra -

    h = x feet. B = 2X - 4.
    A = Bh/2 = (2X -4)X/2 = 15.
    Cross multiply:
    2X^2 -4X = 30, X^2 -2X -15 = 0,
    Solve for X BY FACTORING:
    (X -5) (X + 3) = 0
    X - 5 = 0, X = 5; X + 3 = 0, X = -3
    Choose positive value: X = 5 = height.
    2X -4 = 10 -4 = 6 = Base.

  • Algebra -

    ihave a triangle with an area of 35 solve for base and height if height is 3meters less than the base

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