Question

How to solve this equation for the variable b a^2+b^2=c^2 ?

Answer 1

Firstly, subtract a^2 on both sides: $b^2=c^2-a^2$

Next, we are going to be using the difference of squares, which is $x^2-y^2=(x+y)(x-y)$ . Use this on the right side of the equation: $b^2=(c+a)(c-a)$

Lastly, square root both sides of the equation, and your answer will be $b=\sqrt{(c+a)(c-a)}$