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Sum Reciprocal Lengths (Posted on 2007-11-17) Difficulty: 2 of 5
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.

See The Solution Submitted by K Sengupta    
Rating: 2.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Solution KISS Comment 6 of 6 |
(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
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