From a point within a triangle, line segments are drawn to the vertices. A necessary and sufficient condition that the three triangles thus formed have equal areas is that the point be:
<spanclass=′latex−bold′>(A)</span>the center of the inscribed circle<spanclass=′latex−bold′>(B)</span>the center of the circumscribed circle<spanclass=′latex−bold′>(C)</span>such that the three angles fromed at the point each be 120∘<spanclass=′latex−bold′>(D)</span>the intersection of the altitudes of the triangle<spanclass=′latex−bold′>(E)</span>the intersection of the medians of the triangle