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Question
In the given figure, the length of BC is ______.

Options
7 cm
10 cm
14 cm
15 cm
MCQ
Fill in the Blanks
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Solution
In the given figure, the length of BC is 10 cm.
Explanation:

We have AF = AE, BD = BF, CD = CE. ...[∵ Tangents from an external point are equal]
∴ CE = AC – AE
= AC – AF
= (11 – 4) cm
= 7 cm
BD = BF = 3 cm
CD = CE = 7 cm
And so, BC = BD + CD
= (3 + 7) cm
= 10 cm
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