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  • 1 Hofstra University, Department of Mathematics Hempstead, NY 11549, USA Hempstead, NY 11549, USA
  • 2 Hofstra University, Department of Mathematics Hempstead, NY 11549, USA Hempstead, NY 11549, USA
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Summary  

For a given triangle, we consider several sequences of nested triangles obtained via iterative procedures. We are interested in the limiting behavior of these sequences. We briefly mention the relevant known results and prove that the triangle determined by the feet of the angle bisectors converges in shape towards an equilateral one. This solves a problem raised by Trimble~[5].

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