Adam has created a triangular table, as shown. Because his table will have only one pedestal leg, he needs to find the balance point of the table top. To do this, he has located the centroid of the table top, as shown on the right. However, he is not sure if that point really is the center of mass.

How can you prove to Adam that this point really is the center of mass?

Group of answer choices

Show him that the three medians form three pairs of congruent triangles.

Have him try to balance the table top at that point of concurrency to see if it will balance.

Show him that each median is a balance line with equal area on both sides. Therefore, their point of concurrency is the balance point of the triangle.

Show him that the point of concurrency is equidistant from the three vertices of the triangle, and therefore it is the center of mass of the table.