Ken's Puzzle of the Week

Square Root of a Line

  1. Given a compass, a straightedge, and a line segment AB of length 3, draw a line segment with a length of the square root of 3.
  2. Given a compass, a straightedge, a line segment AB of length "x", and a unit line segment YZ, draw a line segment with a length sqrt(x).

Source: Thane Larson, quoting Descartes.


Solution
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