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Math Help - perimeter of triangle with vertices within three specified circles

  1. #1
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    perimeter of triangle with vertices within three specified circles

    Given three circles with radii r1,r2, and r3 whose centers are distances a,b, and c away from each other, find a triangle with the maximum perimeter where each vertex of the triangle intersects a different circle. For example, for a=b=c=3 and r1=r2=r3=1, the answer is 14.196. For given values of r1,r2,r3,a,b, and c I can solve it numerically, but I am stuck trying to come up with a purely symbolic solution.

    Any help would be appreciated.
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  2. #2
    A Plied Mathematician
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    Look here for a very similar thread. Also here. I think you might be able to use rotation matrices in two dimensions in order to solve your problem.
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