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SOLUTION
(1) Using tangent secant segment theorem, we have
AB2 = AC × AD
⇒ 122 = 8 × AD
⇒ AD =
1448
= 18 units
(2)DC = AD − AC = 18 − 8 = 10 units
(3) CD is the chord of the circle with centre O.
Also, OE ⊥ CD (seg OE ⊥ seg AD)
∴ DE = EC =
DC2=102
units (Perpendicular drawn from the centre of a circle on its chord bisects the chord)
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