Even though there exist infinitely many Pythagorean triplets, the most unique ones are those originating from 3, 4 and 5.

It is known that:

3

^{2}+4^{2 }=5^{2}
6

^{2}+8^{2}=10^{2}
9

^{2}+12^{2}=15^{2}
We can generalize these triplets in the form:

(3n)

^{ 2}+ (4n)^{ 2}= (5n)^{ 2}
Where ‘n’ is any whole number >0.

Let 3n=a 4n=b 5n=c

It is observed that (c/a) = (5/3) = φ ≈ 1.66= Golden Ratio

Using the above formula, we can use various values of ‘n’ to find infinitely many such ‘

**golden triplets’**
We have named them

For information about the golden ratio, please visit

http://en.wikipedia.org/wiki/Golden_ratio

**golden triplets**because they follow the golden ratio.For information about the golden ratio, please visit

http://en.wikipedia.org/wiki/Golden_ratio

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