# 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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