Peculiar Point P

Geometry Level 3

A point \(P\) is given outside of a circle \(\Gamma \). A tangent from \(P\) touches \(\Gamma\) at \(T\) with \(PT=45\). A line from \(P\) cuts \(\Gamma\) at the 2 points \(A, B\). If \(PA=25\), what is the length of \(PB\)?

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