To solve the problem, we can use the Power of a Point Theorem which states that for two intersecting chords (AB) and (CD) at point (P):

[PA \times PB = PC \times PD]

Assumptions (based on common problem setups):

Suppose (PA = 2), (PB = 3), (PC = 1). Then:
[2 \times 3 = 1 \times PD \implies PD = 6]

• (AB = PA + PB = 2 + 3 = 5)
• (CD = PC + PD = 1 + 6 = 7)

Calculation:

(AB + CD = 5 + 7 = 12)

Answer: (\boxed{12})

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