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Pentagon Fraction Minimizing (Posted on 2015-03-16) Difficulty: 3 of 5
ABCDE is a regular pentagon. Determine the smallest value of the expression

(|PA|+|PB|)/(|PC|+|PD|+|PE|)

where P is an arbitrary point lying in the plane of the pentagon ABCDE.

No Solution Yet Submitted by Danish Ahmed Khan    
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re: solution Comment 2 of 2 |
(In reply to solution by Charlie)

Another way of stating this exact value is √5 - 2

  Posted by Jer on 2015-03-16 16:19:38

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