Let ABC be a triangle such that midpoints of three altitudes are collinear. If the largest side of triangle is 10, what is the largest possible area of the triangle?<spanclass=′latex−bold′>(A)</span>20<spanclass=′latex−bold′>(B)</span>25<spanclass=′latex−bold′>(C)</span>30<spanclass=′latex−bold′>(D)</span>40<spanclass=′latex−bold′>(E)</span>50