Consider an acute triangle ABC of area S. Let CD⊥AB (D∈AB), DM⊥AC (M∈AC) and DN⊥BC (N∈BC). Denote by H1 and H2 the orthocentres of the triangles MNC, respectively MND. Find the area of the quadrilateral AH1BH2 in terms of S. geometryanalytic geometryparallelogramcircumcircle