Question

What is b in terms of a and c?

Answer 1

Answer:

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

Step-by-step explanation:

The given relation is

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

To make $b$ the subject, we square both sides of the equation to get;

$c^2=(\sqrt{a^2+b^2})^2$

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

Isolate $b$ on one side of the equation;

$c^2-a^2=b^2$

Or

$b^2=c^2-a^2$

We take the positive square root of both sides to get;

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