Answer:
12 cm
Step-by-step explanation:
So the Pythagorean Theorem states [tex]a^{2} +b^{2} =c^{2}[/tex]
If we know what c and a are, we can solve for b by doing
[tex]b = \sqrt{c^{2} - a^{2}}[/tex]
or
[tex]b = \sqrt{{13^{2}-5^{2}}[/tex]
[tex]b = \sqrt{144}[/tex]
[tex]b = 12[/tex]