Answer:
: Use the Pythagorean Theorem
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
[tex] {c}^{2} = {5}^{2} + {12}^{2} [/tex]
[tex] {c}^{2} = 25 + 144[/tex]
[tex] {c}^{2} = 169[/tex]
[tex]c = + 13[/tex]