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In the given figure, tangent PT = 12.5 cm and PA = 10 cm; find AB. - Mathematics

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Question

In the given figure, tangent PT = 12.5 cm and PA = 10 cm; find AB.

Sum

Solution

Since PAB is the secant and PT is the tangent

∴ PT2 = PA × PB

`=>` 12.52 = 10 × PB

`=>` PB = `(12.5 xx 12.5)/10` = 15.625 cm

AB = PB – PA 

= 15.625 – 10

= 5.625 cm

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Arc and Chord Properties - If Two Chords Intersect Internally Or Externally Then the Product of the Lengths of the Segments Are Equal
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Chapter 18: Tangents and Intersecting Chords - Exercise 18 (B) [Page 283]

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Selina Mathematics [English] Class 10 ICSE
Chapter 18 Tangents and Intersecting Chords
Exercise 18 (B) | Q 1.3 | Page 283
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