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Lengths of Tangents Drawn from External Point

In Fig. 1, tr...

Question

In Fig. 1, triangle ABC is circumscribing a circle. Then the length of BC is :

7cm

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8cm

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9cm

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10cm

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Solution

The correct option is A 10cm

Since the tangents from an external point are equal
So
$B N = B L$
$B L = 4 c m$
$C M = C L$
$C L = 6 c m$
So, $B C = C L + B L = 6 + 4$
= $10 c m$
legth of BC is 10cm.

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