Question

What is the Pythagorean Triples using the values, $m=0$ and $n=2$?

Answer 1

Condition for constructing Pythagorean triples:
When $m$ and $n$ are any two positive integers $(m<n)$:

$a=n^2-m^2$

$b=2nm$

$c=n^2+m^2$

Then $a,b$ and $c$ are Pythagorean triple

Here $m=0$ and $n=2$

$\therefore 2^2-0^2$

$\Rightarrow 4-0=4$

$\therefore b=2\times 2\times 0=0$

$\therefore c=2^2+0^2$

$\Rightarrow 4+0=4$

Hence Pythagorean triples are $4,0,4$.