Question

Solve c2=a2+b2 for b

Answer 1

A^2+B^2=C^2

B^2=C^2-A^2

B=SQRT(C^2-A^2

Explanation:

Answer 2

`b=√(c^2-a^2)`.

Explanation:

The given expression is
`c^2=a^2+b^2`.

We want to solve this equation for
`b` , we subtract
`a^2` from both sides of the equation.

`c^2-a^2=b^2`.

We take the square root of both sides to get;

`\pm √(c^2-a^2)=b`.

Note however that; if b represents one of the legs of a right triangle or any non negative quantity, then

`b=√(c^2-a^2)`.