In Figure-4, $AB$ and $CD$ are common tangents to circles which touch each other at $D$. If $AB = 8$ cm, then find the length of $CD$.

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Question

In Figure-4, $AB$ and $CD$ are common tangents to circles which touch each other at $D$. If $AB = 8$ cm, then find the length of $CD$.

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Accepted Answer

Step 1: $AC = CD = BC$ (tangents from external point). $CD = \frac{AB}{2} = 4$ cm

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