Heronian triangles with one side odd of length a = 3,5,7,9,11

 

There are infinitely many of primitive Heronian triangles with one side of length a > 2

 
if   a   is odd :
the other sides are:     (a \, t - 1)/2,     (a \, t + 1)/2

where   t   is a solution of the Pelian equation
t^2 \; - \; (a^2 - 1) \, y^2 \; = \; 1

 
HERON side ODD 1

 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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