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The formula

[tex]c = \sqrt{ a^2 + b^2 }[/tex]

represents the length of the hypotenuse of a right triangle with side lengths a and b, and we have to solve for b .

First we need to get rid of the radical and for that, we do squaring on both sides. That is

[tex]c^2 = a^2 + b^2[/tex]

Now we need to get rid of a^2 and for that we do subtraction.

[tex]b^2 = c^2 - a^2[/tex]

And finally we need to get rid of square, and for that we take radical to both sides

[tex]b = \sqrt{ c^2 -a^2 }[/tex]

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