Respuesta :

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]