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A regular polygon problem

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  • Juan Carlos Salazar
    Dear Friends: My friend Hipólito Reyes send me a problem from Perú , (I don´t know this theorem). Could somebody help me with this problem?. : Be a regular
    Message 1 of 1 , May 8, 2003
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      Dear Friends:
      My friend Hipólito Reyes send me a problem from Perú ,
      (I don´t know this theorem).
      Could somebody help me with this problem?. :
      Be a regular polygon of "n" sides, from a point
      of incircle (radius r) drawing the perpendicular
      segments d1,d2,d3,...,dn to sides.
      Prove that: d1^3+d2^2+d3^3+....+dn^3=(5/2)*n*r^3.
      Thanks
      Juan Carlos
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