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Is the pythagorean triplet formula - (2m),(m2 - 1),(m2 + 1) applicable to all triplets?,and please give the order in increasing value?

Dear Student ,
 
Please find below the solution to the asked query :

Using formula2m , m2-1 , m2+1We can't find all triplets .For ex:-5 , 12 , 13 can't be find out .A pythagorean triplet has 3 positive integers a , b and c such that a2+b2=c2Where general formula isa=m2-n2 , b=2mn , c=m2+n2here m and n are coprime and m>n .This can't be given in increasing order .As some time m2-n2>2mn and some time 2mn>m2-n2 But m2+n2is always >m2-n2 and 2mn .
 
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