Pythagorean Theorem Formula?

Okay, I had this in my head for a while, and I just now decided to post it.

Let's say you have a side, $a$ .

If it's odd, the second side is $\frac{a^{ 2 } - 1}{2} = b$

else the second side is $\frac{a^{ 2 } - 4}{4} = b$

The third side is $\sqrt{(a^{2} + b^{2})}$

I've personally found nothing to disprove this, please post anything if you have disproved it. ((No negative numbers or zero guys, even though the formulas won't break if you do it.))

#Algebra #NumberTheory #PythagoreanTheorem #PythagoreanTriples

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$