Question

What is the length of BC
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Answer 1

Answer:

The length of BC is 10 cm. Since we know that tangents from external point is always equal.

Answer 2

Note: the figure is missing and is attached below.

Given:

$BR = 3 cm, AR = 4 cm, AC = 11 cm$

To find: the length of BC.

Solution:

Know that, tangents from an external point are always equal.

Therefore,  

$BR = BP = 3 cmAR = AQ = 4 cm$

Understand that,

$QC = AC- AQ$

     $= 11 - 4 \\= 7 cm$

Observe the image that QC and PC are tangent of a common external point. then,

$QC = PC = 7 cm$

Find the length of BC.

$BC = BP+PC$

      $= 3 + 7\\\\ = 10 cm.$

Hence, the length of BC is 10 cm.