A triangle ABC is right-angled at C and the measure of its sides are sides BC = a = 1200 cm, AC = b = 500 cm, and AB = c = 1300 cm is right-angled at C. The internal bisector of ∠A meets BC at P, and the bisector passes through the incentre O. Find the ratio PO: OA.

1
3 : 2
2
2 : 3
3
2 : 5
4
1 : 3

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