The formula represents the length of the hypotenuse of a right triangle with side lengths a and b. Solve the equation for b. Show your work.

c = sqrt [ a^2 + b^2] square both sides

c^2 = a^2 + b^2 subtract a^2 from both sides

c^2 - a^2 = b^2 take the square root both both sides

sqrt [ c^2 - a^2 ] = b