Answer:
14
Step-by-step explanation:
The law of cosines is a² = b²+c²-2bc(cos A).
We will use s in place of a, since it is the unknown side. This makes b and c 8 and 9.
Angle A will be the angle opposite side a, or in this case side s. This makes it 111.
This gives us
s² = 8²+9²-2(8)(9)(cos 111)
s² = 64+81-2(8)(9)(cos 111)
s² = 145-144(cos 111)
s² = 196.605
Take the square root of each side:
√(s²) = √(196.605)
s = 14.02 ≈ 14
