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've solved the puzzle numerically by trigonometry, but suspected that there must be some shortcut.
Ancient Greeks knew their vegetables.........