Answer:
[tex]\sqrt{117}[/tex] or [tex]3\sqrt{13}[/tex]
Step-by-step explanation:
The formula for finding the any side of the triangle is
[tex]a^{2}+b^{2} =c^{2}[/tex]
We know that a=2 and c=11, so we can go ahead and plug those into the formula.
[tex]2^{2}+b^{2} =11^{2}[/tex]
[tex]4+b^{2} =121[/tex]
To find side b, we have to make it alone on one side. Subtract 4 on both side.
[tex]b^{2} =117[/tex]
Now square root both sides, and that leaves us with:
[tex]b=\sqrt{117}[/tex] or [tex]3\sqrt{13}[/tex]
