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Math Help - Final Review word poblem

  1. #1
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    Question Final Review word poblem

    Hi guys, I am the worst at word problems. I don't even know how to start this. Here is the question:

    two postitive number a and b are to be chosen so that the line segment connecting (a,0( and (o,b) has a length of 10. find the values of a and b so that he area of the triangle with verticies (0,0) (a,0) and (o,b) is maximum.

    any help is appreciated.
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  2. #2
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    Quote Originally Posted by BNsand210 View Post
    Hi guys, I am the worst at word problems. I don't even know how to start this. Here is the question:

    two postitive number a and b are to be chosen so that the line segment connecting (a,0( and (o,b) has a length of 10. find the values of a and b so that he area of the triangle with verticies (0,0) (a,0) and (o,b) is maximum.

    any help is appreciated.
    a^2 + b^2 = 100

    b = \sqrt{100-a^2}

    A = \frac{1}{2}ab

    A = \frac{1}{2}a\sqrt{100-a^2}

    determine A' and find the value of a that maximizes the area of the triangle
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