Two chords AB and CD intersect at P inside a circle. If AP = 4 cm, PB = 6 cm, and CP = 3 cm, what is the length of PD?

Answer and explanation

Correct answer: C. 8 cm

  1. Step 1: Intersecting Chords Theorem: AP PB = CP PD. Step 2. 4 6 = 3 PD => 24 = 3 PD => PD = 8 cm. Answer: 8 cm. Why not the others:* 7 adds segments rather than multiplying.

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