Two chords, AB and CD, cross at point P inside a circle. Segments AP, PB, and CP have lengths of 6 cm, 8 cm, and 4 cm, respectively. How long is the chord CD in total?
Show answer & explanation
Correct answer: B
Explanation
Given:
AP = 6 cm
PB = 8 cm
CP = 4 cm
By the formula:
AP × PB = CP × PD
6 × 8 = 4 × PD
48 = 4PD
PD = 12
CD = CP + PD
CD = 4 + 12 = 16
Chord CD = 16 cm