Question

A^2 b^2=c^2 express b in terms of a and c

Answer 1

`b=(c)/(a)\ or\ b=√(c^2-a^2)`

Explanation:

`If\ is\ a^2b^2=c^2:\\\\a^2b^2=c^2\qquad\text{divide both sides by}\ a^2\\eq0\\\\b^2=(c^2)/(a^2)\to b=\sqrt{(c^2)/(a^2)}\\\\b=(√(c^2))/(√(a^2))\\\\\boxed{b=(c)/(a)}`

`If\ is\ a^2+b^2=c^2:\\\\a^2+b^2=c^2\qquad\text{subtract}\ a^2\ \text{from both sides}\\\\b^2=c^2-a^2\to\boxed{b=√(c^2-a^2)}`