How to approach pythagoras triplet problem

#1

how to approach pythagoras triplet problem.

i have one input variable say=a
but other variable “b” & “c”.
how to increment “b” & “c” individually and add them to check so that they make pythagoras triplet with “a”

#2

Pythagorean triplet are of form m^2-n^2, 2mn , m^2+n^2…in this ques you are given a value…assume that this value can be of first form or second form…so if the given value say ‘a’ is even then you can equate it to 2mn…mn=a/2…there can be various values of (m,n)…you can take any value of (m,n)… one possible value can be m=a/2 and n=1…else if the given value ‘a’ is odd equate it to m^2-n^2…by factorization m^2-n^2=(m+n)(m-n)…(m+n)(m-n)=a…there could be many values of (m,n)…you can chose any one…(m+n)=a and (m-n)=1 solving these two equations we get m=(a+1)/2 and n=(a-1)/2…as you know the values of m,n rest of the two pythagorean triplets can be found…
you can refer to this code for better understanding
https://ide.codingblocks.com/s/71068

#3

Hi Nipun,

As you are not responding to this thread, I am marking your doubt as Resolved for now. Re-open it if required.
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