Given AB = 3 cm, AC = 5 cm, and ∠B = 30°, ΔABC cannot be uniquely constructed, with AC as base, why? 

Given the information of two sides and an angle, we might perhaps create a triangle using the SAS criterion. The SAS criterion, on the other hand, necessitates the measurement of the included angle between the two sides with a common vertex. However, based on the data, B is given, and the sides are AB and AC, indicating that B is not the included angle. As a result, we can't make a unique triangle with AC as the foundation.