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Ellipse and triangle problem

  1. Jul 25, 2012 #1
    1. The problem statement, all variables and given/known data
    Points are A(-6,2) and B(-3,4) and ellipse 4x^2 + 9y^2 = 72. Point C(x,y) for which triangle ABC has largest area is?


    2. Relevant equations
    Ellipse equations


    3. The attempt at a solution
    I don't know even where to start. As far as i am concerned that point can be any number as long as i can construct triangle using that point.
     
  2. jcsd
  3. Jul 25, 2012 #2
    I'm assuming that point C has to on the ellipse.

    They give you a side of the triangle, AB, and you need to find a third point on the ellipse that maximizes the area.

    I can think of a few methods that do this, what level math are you taking?
     
  4. Jul 27, 2012 #3
    Thank you for the hint i solved the problem. I am currently reviewing pre calclus so i could move forward.
     
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