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.