Answer:
VA
Step-by-step explanation:
Angle VYA = 180-94-46 = 40 degrees.
Know that the side length opposite the smallest angle has the smallest length.
VY and VA are the two smallest, but 40 < 46, therefore VA is the shortest length.
Short (and not very rigorous) proof:
The law of sines says that sinA/a = sinB/b = sinC/c, where x is the side opposite the angle X
sin46/YV = sin40/VA
sin46 > sin40, therefore YV > VA.
