The point M is located inside the triangle ABC. The ray AM intersects the circumcircle of the triangle MBC once more at point D, the ray BM intersects the circumcircle of the triangle MCA once more at point E, and the ray CM intersects the circumcircle of the triangle MAB once more at point F. Prove that holds
MDAD+MEBE+MFCF≥29 geometrycircumcirclegeometric inequality