Answer:
a 8
Step-by-step explanation:
You are given two sides and the included angle. Since you don't have any side and the opposite angle, you must use the law of cosines.
[tex] a^2 = b^2 + c^2 - 2bc\cos A [/tex]
[tex] a^2 = 5^2 + 11^2 - 2(5)(11)\cos 39^\circ [/tex]
[tex] a^2 = 25 + 121 - 110\cos 39^\circ [/tex]
[tex] a^2 = 60.51 [/tex]
[tex] a = 7.779 [/tex]
Answer: a = 8 cm
