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(Iii) in the Given Figure Tangent Pt = 12.5 Cm and Pa = 10 Cm; Find Ab. - ICSE Class 10 - Mathematics

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ConceptArc and Chord Properties - If Two Chords Intersect Internally Or Externally Then the Product of the Lengths of the Segments Are Equal

Question

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

Solution

Since PAB is the secant and PT is the tangent
 ∴ `PT^2` =  PA × PB
 ⇒ `12.5 ^2` = 10 × PB
⇒ PB `(12.5 ×12.5)/10` = 15.625 cm
AB = PB - PA  = 15.625- 10 =  5.625 cm

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Solution (Iii) in the Given Figure Tangent Pt = 12.5 Cm and Pa = 10 Cm; Find Ab. Concept: 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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