Question: For each integer n > 1, determine the coordinates of the rational point Pn = (Xn; Yn) on the unit circle determined by the Diophantus

For each integer n > 1, determine the coordinates of the rational point Pn = (Xn; Yn) on the unit circle determined

by the Diophantus chord of slope 1/n. Use your results to describe five non-congruent integral right triangles with

hypotenuse of length at most 50.

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