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In the given figure, find TP if AT = 16 cm and AB = 12 cm. - Mathematics

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Question

In the given figure, find TP if AT = 16 cm and AB = 12 cm.

Sum

Solution


PT is the tangent and TBA is the secant of the circle.

Therefore, TP2 = TA × TB

TP2 = 16 × (16 − 12) = 16 × 4 = 64 = (8)2

Therefore, TP = 8 cm

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Chapter 18: Tangents and Intersecting Chords - Exercise 18 (C) [Page 287]

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Selina Mathematics [English] Class 10 ICSE
Chapter 18 Tangents and Intersecting Chords
Exercise 18 (C) | Q 31 | Page 287
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