Answer:
[tex]c=13\ units[/tex]
Step-by-step explanation:
we know that
Applying the law of cosines
[tex]c^2=a^2+b^2-2(a)(b)cos(C)[/tex]
we have
[tex]a=10\ units\\b=13\ units\\C=70\°[/tex]
substitute
[tex]c^2=10^2+13^2-2(10)(13)cos(70\°)[/tex]
[tex]c^2=180.07[/tex]
[tex]c=13\ units[/tex]
