Tuesday, April 21, 2009

solution: chords

Solution: 5*4 - chords

The shortest chord has length 16 and the longest chord is a diameter and has length 20. The in-between chords (lengths 17, 18, and 19) exist in pairs, giving us a total of eight chords of integer length passing through the given point. This is really an existence question. Constructing the actual chords is a tedious project whose aim concerns particular chords which are numerically but not geometrically of any moment.

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