X cm and CF = y CMAS we KNOW,BE = BD [tangents]DC = CF [tangents]AE = AF [tangents]AB + BE = AC + CF⇒ 10 + x = 8.6 + y⇒ x – y = 8.6 – 10⇒ x – y = - 1.4 ----(1)BD + DC = 6.4⇒ x + y = 6.4 ----(2)From equation (1) and equation (2)⇒ x = 2.5⇒ BE = 2.5 cm