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In the given figure, the length of BC is
As we know,
Tangents drawn from an external point are equal, We have
AF = AE = 4 cm
[Tangents from common point A]
BF = BD = 3 cm
[Tangents from common point B]
CE = CD = x (say)
[Tangents from common point C]
Now,
AC = AE + CE
11 = 4 + x
x = 7 cm [1]
and, BC = BD + BC
BC = 3 + x = 3 + 7 = 10 cm