Question

What is b in terms of a and c?

Answer 1

`b=√(c^2-a^2)`

Explanation:

The given relation is

`c=√(a^2+b^2)`

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

`c^2=(√(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=√(c^2-a^2)`