a2+b2=c2 and ab/2=2009

     A Happy New Year!

     Cool!!! 2009 is a congruent number!


     
     Substitute n=2009 to y2=x3-n2x and solve about (x,y),then we obtain
     (x,y)=(3136/25,2807112/125)

     a=(n2-x2)/y=7161/40

     b=2nx/y=22960/1023

     c=(n2+x2)/y=7383047/40920

     a2+b2=c2 and ab/2=2009