perplexus.info :: Just Math : Pentagon Fraction Minimizing

Pentagon Fraction Minimizing (Posted on 2015-03-16)

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

Rating: 3.5000 (2 votes)

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Puzzle Answer

Comment 7 of 7 |

The required smallest value of the given expression is approximately equal to 0.23607.

Posted by K Sengupta on 2022-05-08 21:46:54

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