Question

in the figure triangle ABC is circumscribing a circle. find the length of Bc

Answer 1

Hi .
here is your answer
AR=AQ=4cm (tangent to circle)
BR=BP=3cm(tangent to a circle)
AC=AQ+QC
11=4+QC
QC=11-4=7
QC=CP =7cm(tangent to a circle)
BC=BP+PC
BC=3+7
BC=10cm
hope you don't have any problem left

Answer 2

Given : triangle ABC is circumscribing a circle

To Find : Length of BC

Solution:

AR  = AQ   Equal tangents

AR = 4 cm

=> AQ = 4 cm

AC = AQ + QC

AC = 11 cm  , AQ = 4 cm

=> 11 = 4 + QC

=> QC = 7 cm

QC = PC  Equal tangents

=> PC = 7 cm

BP = BR  Equal tangents

BR = 3 cm

=> BP = 3 cm

BC = BP + PC

=> BC = 3 + 7

=> BC = 10 cm

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