Let Mbe an interior point of triangle ABC. Let the line AM intersect the circumcircle of the triangle MBC for the second time at point D, the line BM intersect the circumcircle of the triangle MCA for the second time at point E, and the line CM intersect the circumcircle of the triangle MAB for the second time at point F. Prove that MDAD+MEBE+MFCF≥29.Proposed by Nairy Sedrakyan inequalitiesgeometrycircumcirclegeometric transformationreflectiongeometry proposed