To calculate the potential difference at the midpoint of the base of an equilateral triangle with a side length of 3.61 cm and a charge of -0.34 mC at each vertex, one must sum the potentials from each charge. The potential at a point due to a point charge is given by the formula V = k * q / r, where k is Coulomb's constant, q is the charge, and r is the distance from the charge to the point of interest. After determining the distances from the midpoint to each vertex, the individual potentials can be calculated and then summed to find the total potential at that point. The potential difference can then be assessed based on the calculated total potential. This approach requires careful vector diagram analysis to ensure accurate summation of the potentials.