Given data:
The given dimensions are:
b = 8
B = 122°
C = 26°
Our objective is to find the side length AB or c (as it is opposite to angle C.)
Using the Law of Sines, we get
b/sinB = c/sinC
8/sin 122° = c/sin 26°
8/0.8480 ≈ c/0.4384
c≈ 8/0.8480 × 0.4384
c ≈4.135849
Therefore, the side length AB is approximately 4.1 units.