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Math Help - [SOLVED] algebra word problems

  1. #1
    leesh2009
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    Question [SOLVED] algebra word problems

    The area of a triangle is 45 feet squared. If the base of the triangle is 4 less than half the height, what is the height and base of the trangle?
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  2. #2
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    Quote Originally Posted by leesh2009
    The area of a triangle is 45 feet squared. If the base of the triangle is 4 less than half the height, what is the height and base of the trangle?
    Let x be the height,
    then \frac{1}{2}x-4 is the base.
    Since, area is 45 and you know that,
    \frac{1}{2}\times (\mbox{height})(\mbox{base})=\mbox{Area}
    Thus,
    \frac{1}{2}x\left(\frac{1}{2}x-4\right)=45
    Thus, open parantheses,
    \frac{1}{4}x^2-2x=45
    Now, multiply this by 4 to get,
    x^2-8x=180
    Thus,
    x^2-8x-180=0
    Thus,
    (x+10)(x-18)=0
    Thus,
    x=-10,18 reject the negative.
    Thus, x=18
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