In a circle, AB and DC are two chords. When AB and DC are produced, they meet at point P. If PC = 5.6 cm, PB = 6.3 cm and AB = 7.7 cm, then the length of CD is ________.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 10.15 cm
PA × PB = PC × PD
⇒ 14 × 6.3 = 5.6 × PD
⇒ PD = (14 × 6.3) / 5.6 = 15.75
Hence,
CD = PD - PC = 15.75 - 5.6 = 10.15 cm