Each of the sides PQ, QR, RS, ST, TU, UV and VP of a regular heptagon PQRSTUV have length 2. The respective lengths of two of the diagonals PR and PS of the heptagon are denoted by X and Y.

Determine 1/X + 1/Y.

(In reply to Solution by Brian Smith)

I have to agree with Steve. Kudos.  I suspected there might be something related to the quadrilateral that might simplify and find the more exact solution.  I shall try to remember Ptolemy's Theorem for future reference.

Posted by Dej Mar on 2007-11-18 01:21:23