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Math Help - Area of Triangle & Quadratic Function ?

  1. #1
    Newbie Monocerotis's Avatar
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    Area of Triangle & Quadratic Function ?

    Question
    The base of a triangle is 2cm more than the height. The area of the triangle is 5cm^2. Find the base to the nearest tenth of a centimeter.

    Attempt @ Solution
    Area of Triangle = 1/2((b)(h))

    Let x represent h (height), and let x represent b (base)
    h = x
    b = x + 2

    2x+x^2 / 2=5
    2x+x^2=10
    x^2+2x-10=0

    Standard Form: a = 1, b= 2, c= 10

    Sub in values into quadratic equation and solve for x which would give you the height, then add 2 to that value which would give you the base.

    Is this correct ?
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  2. #2
    A riddle wrapped in an enigma
    masters's Avatar
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    Quote Originally Posted by Monocerotis View Post
    Question
    The base of a triangle is 2cm more than the height. The area of the triangle is 5cm^2. Find the base to the nearest tenth of a centimeter.

    Attempt @ Solution
    Area of Triangle = 1/2((b)(h))

    Let x represent h (height), and let x represent b (base)
    h = x
    b = x + 2

    2x+x^2 / 2=5
    2x+x^2=10
    x^2+2x-10=0

    Standard Form: a = 1, b= 2, c= 10

    Sub in values into quadratic equation and solve for x which would give you the height, then add 2 to that value which would give you the base.

    Is this correct ?
    Hi Monocerotis,

    Almost. c = -10
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  3. #3
    Newbie Monocerotis's Avatar
    Joined
    Oct 2009
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    Quote Originally Posted by masters View Post
    Hi Monocerotis,

    Almost. c = -10
    right right, simple mistake lol

    thanks bones.
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