A point is selected at random inside an equilateral triangle. From this point perpendiculars are dropped to each side. The sum of these perpendiculars is:<spanclass=′latex−bold′>(A)</span>Least when the point is the center of gravity of the triangle<spanclass=′latex−bold′>(B)</span>Greater than the altitude of the triangle<spanclass=′latex−bold′>(C)</span>Equal to the altitude of the triangle<spanclass=′latex−bold′>(D)</span>One-half the sum of the sides of the triangle<spanclass=′latex−bold′>(E)</span>Greatest when the point is the center of gravity