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.​

Answer 1

Answer:

4 cm

Step-by-step explanation:

Tangents from an external point to a circle are equal.

AC = AD

BC = BD

Thus, AC = BC

AB = AC + BC

8 = 2AC

4 = AC

Since AC = CD, CD = 4cm

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Answer 2

Step-by-step explanation:

From the given figure, CD = 4 cm

CD=AD=4 (tangents drawn from an exterior point are equal)

CD=BD=4 (tangents drawn from an exterior point are equal)

Now, AB=AD+BD=4+4=8 cm