Answer:
The measure of the third side is [tex]\sqrt{7}\ 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]
where
C is the angle between side a and side b
we have
[tex]a=2\ units\\b=3\ units\\C=60^o[/tex]
substitute
[tex]c^2=2^2+3^2-2(2)(3)cos(60^o)[/tex]
[tex]c^2=13-(12)(\frac{1}{2})[/tex]
[tex]c^2=13-6[/tex]
[tex]c^2=7[/tex]
[tex]c=\sqrt{7}\ units[/tex]
