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Two chords AB and CD of a circle cut each other at an interior point P. If AP = 6 cm, PB = 4 cm and CP = 3 cm, find PD.

Competition practiceGeometry

A8 cm
B4.5 cm
C2 cm
D7 cm

Step-by-Step Solution

By the intersecting chords theorem,

A P \times PB = CP \times P D : 24 = 3 \times P D

, so

P D = 8

cm.

Answer: A) 8 cm

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