Question

Length of BC in the given figure is:

(a) 7 cm (b) 10 cm (c) 12 cm (d) 15 cm ​

Answer 1

Answer:

b) 10 cm

Step-by-step explanation:

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

Answer 2

Answer:

b) 10

Step-by-step explanation:

Given, AR=4 cm

and, AR=AQ=4 (Tangents from the same point are equal)

CQ=AC−AQ=11−4=7 cm

CQ=CP=7 cm (Tangents from the same point are equal)

BR=BP=3 cm (Tangents from the same point are equal)

Now, BC=CP+BP

BC=7+3=10 cm