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)

Bravo!

I've  solved  the puzzle numerically by trigonometry, but suspected that there must be some shortcut.

 

Ancient Greeks knew their vegetables.........

Ady

Posted by Ady TZIDON on 2007-11-21 04:20:29