#### 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

Is there an error in this question or solution?

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.