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A man wants to build a patio on his house in the shape of an isosceles triangle. He wants to build the side walls out of pink planks, but he has only 600 yards worth of planks. Find the dimesions of the largest area he can build if he's using the side of his house as one of the walls instead of planks.

I'm not even sure where to start, all other optimization questions I've encountered where square or rectangle based. How do you go about this with a triangle?