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# I) in the Given Figure 3 × Cp = Pd = 9cm and Ap = 4.5 Cm Find Bp. - ICSE Class 10 - Mathematics

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

#### Question

i) In the given figure 3 × CP = PD = 9cm and AP = 4.5 cm Find BP.

#### Solution

i) Since two chords AB and CD intersect each other at P.
∴ AP ×  PB =  CP × PD
⇒ 4.5 ×  PB =  3×9 (3CP = 9cm ⇒ CP = 3cm)
⇒ PB = (3×9)/4.5= 6 cm

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#### APPEARS IN

Solution I) in the Given Figure 3 × Cp = Pd = 9cm and Ap = 4.5 Cm Find Bp. 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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