szimmetria-airtemmizs:We have three colored segment in this animation. Surprisingly the length of th

szimmetria-airtemmizs:We have three colored segment in this animation. Surprisingly the length of the longest one is always the sum of the length of the two smaller ones.This is actually a very special case of Ptolemy’s theorem. The theorem gives a connection between the sides and the diagonals of a cyclic quadrilateral. In this case the length of the dashed lines is equal so the theorem can be simplified to the statement above.  -- source link
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