Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {5}^{2} + {b}^{2} = {11}^{2} [/tex]
[tex] {b}^{2} = {11}^{2} - {5}^{2} [/tex]
[tex] {b}^{2} = 121 - 25[/tex]
[tex] {b}^{2} = 96[/tex]
[tex] \sqrt{b} = \sqrt{96} [/tex]
[tex]b = 9.78[/tex]
