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.

Submitted by K Sengupta

Rating: 2.5000 (2 votes)

Solution: (Hide)

1/X + 1/Y = 1/2

EXPLANATION:

Refer to the solution submitted by Brian Smith in this location.

A slightly different solution is given by Bractals in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Solution KISS	Ady TZIDON	2007-11-21 04:20:29
Solution	Bractals	2007-11-18 02:23:37
re: Solution	Dej Mar	2007-11-18 01:21:23
re: Solution	Steve Herman	2007-11-17 21:26:58
Solution	Brian Smith	2007-11-17 20:58:44
Solution	Dej Mar	2007-11-17 19:44:41

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