perplexus.info :: Geometry : Sum Reciprocal Lengths

Sum Reciprocal Lengths (Posted on 2007-11-17)

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)

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re: Solution

| Comment 3 of 6 |

(In reply to Solution by Brian Smith)

Kudos, Brian. Neatly done and neatly presented. Thanks.

Posted by Steve Herman on 2007-11-17 21:26:58

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