The length of tangent CD is 2 unit.
What is Tangent ?
Tangent of a circle is a straight line which touches the circle at only one point.
Therefore,
AB = AD = radius = 1.5
∠D = 90 degrees
Using Pythagoras theorem,
AC² = AD² + CD²
AC = 1.5 + 1 = 2.5
AD = 1.5
Therefore,
2.5² - 1.5² = CD²
CD² = 6.25 - 2.25
CD² = 4
CD = √4
CD = 2
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