Three chords are drawn in a circle, spaced 30 degrees apart from the same vertex. If the left chord is 10, and the right chord is 12, what is the length of the middle chord?

Wow! The channel "Freedom Mathematics" did a general case of the chord progression puzzle. The general problem is quite complicated! I hope everyone checks out this video! (there are English subtitles at the beginning--then you can follow the equations). See: https://youtu.be/5i_y3KEiPHE

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