A neat trick (Pythagorian Triplets)

Here is a very good trick to find a pythagorian triplet:

1.Square a number.

2.Add 1 to that number and subtract 1 from it

3.Divide the two numbers by 2

4.All the three numbers will give you a pythagorian triplet

For eg:

1. 52=25

2. ( i) 25+1=26 (ii) 25-1=24

3. (i) 26/2 =13 (ii) 24/2=12

4. The numbers are 5,12,13.

7 Answers

49
Subhomoy Bakshi ·

very well nice good...agreed.

but...

prove this ;)

11
Shaswata Roy ·

According to what I had said

(a2-1/2)2 = a4+1-2a2/4

(a2+1/2)2 = a4+1+2a2/4

(a2-1/2)2+a2= a4+1-2a2/4+a2
=a4+1+2a2/4 =(a2+1/2)2

71
Vivek @ Born this Way ·

Nice..

1
Euclid ·

gud work....

tell me how to get triplets of (6,8,10) and (10,24,25)....:)

1
swordfish ·

You can get it in the same way!!
no matter if decimal comes.
Use a calc and check

1
shubham_pandey Pandey ·

well actually this formula is just an emperical relation b/w pythagorean triplets. moreover it is not satisfied by all the pythagorean triplets that exist rather it just gives a part of the whole story. Anyone interested in more such relations check out this page
http://www.larryhammer.com/pythagomath.html

71
Vivek @ Born this Way ·

Thanks.. good share!

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