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From a point P that is 29 cm from the centre of a circle of radius 20 cm, a tangent PT is drawn. How long is PT (in cm)?

Competition practiceGeometry

A21
B9
C49
D441

Step-by-Step Solution

The radius OT is perpendicular to the tangent, so

P T^{2} = 2 9^{2} - 2 0^{2} = 841 - 400 = 441

and

PT = 21

cm.

Answer: A) 21

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