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Homework Help: Proportionality of triangles problem

  1. Feb 14, 2010 #1
    1. The problem statement, all variables and given/known data

    Is any formulas similar to that of proportionality of the triangles to proportionality of the given figure?

    2. Relevant equations



    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Feb 14, 2010 #2

    HallsofIvy

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    Re: proportion

    Not in general, no. How is that curve defined?
     
  4. Feb 14, 2010 #3
    Re: proportion

    the curve is a parabola
     
  5. Feb 14, 2010 #4

    CompuChip

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    Re: proportion

    What do you mean by "proportionality"?
    That if you magnify area I by some appropriate factor, that you can perfectly fit it over area II? Because that is not true.

    Or do you mean: some formula for y2 / y1 given x2 / x1 (where yi is the function value on the right of area i with x-value xi)?
     
  6. Feb 14, 2010 #5
    Re: proportion

    proportionality x1/x2=y1/y2
     
  7. Feb 15, 2010 #6

    CompuChip

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    Re: proportion

    [tex]
    \frac{x_1}{x_2} = \frac{a x_1^2 + b x_2 + c}{a x_2^2 + b x_2 + c}
    [/tex]

    where [itex]ax^2 + bx + c[/itex] is the formula for the parabola?
     
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