Prove that the lengths of tangents drawn from an external point to a circle are equal #maths

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Prove that the lengths of tangents drawn from an external point to a circle are equal.

Using above result, find the length BC of 𝛥ABC. Given that, a circle is inscribed in
𝛥ABC touching the sides AB, BC and CA at R, P and Q respectively and AB= 10 cm, AQ= 7cm ,CQ= 5cm.
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#tangents
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