Pythagorean tripet doubt

#1

In the video, it is said that if m*n = (N/2) then simply take m=N/2 and n=1… but actually this equation can have more than one solution depending on the value of N… for example it could be, m=N/4 and n=2… But changing these solutions would change the answer…so why are we taking m=N/2 and n=1 only and not as m=N/4 and n=2 or m=N/8 and n=4 etc… and also when you fix the length of only one side of triangle then to get a right angled triangle there are infinite choices… we can not give a single answer for this problem… Please explain…

#2

Hi Sheena!
Yes there can be multiple pythagorean triplets for one N. Depending on the different factorizations different triplets can be formed.
For Example: If N=12, then (35,12,37) is a valid triplet and also (5,12,13) is a valid triplet

So there can be multiple answers in some cases.

#3

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