Answer: 15
Step-by-step explanation: Use the formula: [tex]a^{2}+b^{2}=c^{2}[/tex]
Remember [tex]c^{2}[/tex] should always be the hypotenuse or the longest side.
[tex]112^{2}+b^{2}=113^{2}[/tex] ---> evaluate the exponents
[tex]12544+b^{2}=12769[/tex] ----> subtract 12544 to the other side
[tex]b^{2}=225[/tex] ---> take the square root of both sides
[tex]b=15[/tex]