Suppose we have the N vertices of a regular N-gon inscribed in a circle of radius 1. Select one vertex W and draw line segments from W to each of the other N-1 vertices. What is the total product of the lengths of these line segments?
(old problem - original author unknown)
The required product of the lengths of these line segments is N.
** I hope that I will be alle to posit an independent explanation of my own.
Puzzle Answer
