Question

in tje figure pc =16 cd=18 pa=2pb​

Answer 1

Answer:

(a) 2 cm ; (b) 8 cm

Step-by-step explanation:

|CP| × |DP| = |AP| × |BP| (Intersecting chords theorem)

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(a). |PD| = |CD| - |CP| = 18 - 16 = 2 cm

(b).  If PB = x , then AP = 2x

16 × 2 = 2x × x

2x² = 32 ⇔ x² = 16 ⇒ x = 4 cm

AP = 8 cm