Pythagorean triangle (a, b, c): {a^2 – a, b^2 – b, c^2 – c} to be made squares

 
 

Find a Pythagorean triangle   (a, \; b, \; c)   such that the square of any side exceeds that side by a square

a^2 \; - \; a \; = \; m^2
b^2 \; - \; b \; = \; n^2
c^2 \; - \; c \; = \; p^2

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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