A regular 7-gon inscribed in a circle (ABCDEFG), with some other point H on the circle, in the arc CD. Show that the length sum of the blue chords equals the length sum of the green chords.
Scroll down for a solution to this problem.
Solution
![](https://mirangu.com/wp-content/uploads/2023/11/SevenChordsSolution.jpg)
Please find here a solution using complex numbers.