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If cd is tangent to the circle AB=1.5 and BC=1 what is the length of CD

Sagot :

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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