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Look Before You Leap

Age 14 to 16 Challenge Level:

The diagonals of a square meet at $O$.

Pink square with centre 0 and vertices A, B, C, D. Point P lies on BC. Line Ap crosses BD at N.

The bisector of angle $OAB$ meets $BO$ and $BC$ at $N$ and $P$ respectively.

The length of $NO$ is $24$.

How long is $PC$?