Answer:
[tex]a = 9in[/tex]
Step-by-step explanation:
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]
[tex]a = \sqrt{ {10.6}^{2} - {5.6}^{2} } [/tex]
[tex]a = \sqrt{112.36 - 31.36} [/tex]
[tex]a = \sqrt{81} [/tex]
[tex]a = 9in[/tex]
