In triangle ABC, AB \equal{} 13, BC \equal{} 14, and AC \equal{} 15. Let D denote the midpoint of BC and let E denote the intersection of BC with the bisector of angle BAC. Which of the following is closest to the area of the triangle ADE?
<spanclass=′latex−bold′>(A)</span> 2<spanclass=′latex−bold′>(B)</span> 2.5<spanclass=′latex−bold′>(C)</span> 3<spanclass=′latex−bold′>(D)</span> 3.5<spanclass=′latex−bold′>(E)</span> 4 geometryarea of a triangleHeron's formulaangle bisector