Geometry, Theorems and Problems

 Problem 261. Regular Pentagon inscribed in a circle, sum of distances

The figure shows a regular pentagon ABDE inscribed in a circle. If point F is on arc BC, prove that a + d = b + c + e.
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Regular pentagon fact
 

Art of Problem 261

Art of Problem 261 Regular Pentagon, The Parthenon.

See also: 

  Ptolemy's Theorem
  Pentagons

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