Question

$$c^{2}=a^{2}+b^{2}$$

Solve for a (complex solution)

$a=-\sqrt{c^{2}-b^{2}}$
$a=\sqrt{c^{2}-b^{2}}$

Solve for b (complex solution)

$b=-\sqrt{c^{2}-a^{2}}$
$b=\sqrt{c^{2}-a^{2}}$

Solve for a

$a=\sqrt{c^{2}-b^{2}}$
$a=-\sqrt{c^{2}-b^{2}}\text{, }|c|\geq |b|$

Solve for b

$b=\sqrt{c^{2}-a^{2}}$
$b=-\sqrt{c^{2}-a^{2}}\text{, }|c|\geq |a|$