Answer:
LN = 84
Step-by-step explanation:
[tex]KN^2 + MN^2 = MK^2[/tex]
[tex]KN^2 + 16^2 = 65^2[/tex]
[tex]KN^2 + 256 = 4225[/tex]
[tex]KN^2 = 3969[/tex]
[tex]KN = 63[/tex]
[tex]KN^2+LN^2 = LK^2[/tex]
[tex]63^2+LN^2 = 105^2[/tex]
[tex]3969+LN^2 = 11025\\LN^2 = 7056\\LN = 84[/tex]
