A circle touches the side BC of ΔABC at D and AB and AC are produced to E and F, respectively. If AB = 10 cm, AC = 8.6 cm and BC = 6.4 cm, then BE = ?

A. 2.2 cm

B. 3.2 cm

C. 3.5 cm

D. 2.5 cm

Answer: Option D

Solution(By Examveda Team)

10 + x = 8.6 + y   (AE = AF)
x - y = -1.4 . . . . . . (i)
x + y = 6.4 . . . . . . (ii)
2x = 5.0
x = 2.5
BE = 2.5