Algebra

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the altitude of a triangle is 3m less than half its base. If the area of the triangle is 300 m^2 find the measure of the base.

  • Algebra -

    Area = 1/2 Height * Base

    If base = x, then height = .5x-3

    300 = 1/2x(.5x-3)

    Solve for x.

  • Algebra -

    300=1/2x(5x-3)
    5x^2-3x-600=0

    (using Quadratic formula)
    x1=-10.659
    x2=11.259

    ...we have no negative measure for the BASE so,
    b = 11.3m

  • Algebra -

    300=1/2x(5x-3)
    5x^2-3x-600=0

    (using Quadratic formula)
    x1=-10.659
    x2=11.259

    ...we have no negative measure for the BASE so,
    b = 11.3m

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