Math

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In right triangle ABC, altitude CD is drawn to hypotenuse AB. If AD equals 4 and AC exceeds DB by 1, find DB.

It is from a worksheet about proportions in a right triangle.

  • Math -

    I assume you made a diagram, or were given one.
    Angle C should be 90

    let BD = x
    then AC = x+1

    I see three similar triangles, but the important one is
    ADC similar to
    ACB

    then AD/AC = AC/AB

    4/(x+1) = (x+1)/(x+4) which turns into
    x^2 - 2x - 15 = 0
    (x-5)(x+3) = 0
    x = 5 or x = -3, but clearly x > 0
    so x = 5

    BD = 5

  • Math -

    defrgt

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