Question

Rearrange the formula a^2 + b^2 = c^2 for a.

Answer 1

First, subtract the term b^2 from the both sides of the equation to isolate a^2. Then, take the square root of both sides of the equation so "a" is completely isolated. And voila! You should have the simplified version of this formula.

Answer 2

We were given


`a^2 +b^2 = c^2`

Adding
`b^2` to both sides of the equation gives,


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

The Right Hand Side of the equation is a difference of two squares. So we can factor it as follows:


`a^2= (c+b)(c-b)`

Taking the square root of both sides we have,


`a=\sqrt((c+b)(c-b))`