A General 3-4-5 Puzzle

We note that a theorem in distance geometry can be used to solve a general version of the 3-4-5 puzzle inRn.We extend Eveʹs observations about the pointPand the circumcircle of a solution to the equilateral triangle case to this general case. Geometry is used to anticipate algebraic detail. Geometry is also used to interpret Klamkinʹs simultaneous triangle inequality.