# Feel tired

Geometry Level 3

Let $$\triangle ABC$$ rectangle in $$\angle B$$ and $$AB<BC$$. Take a point $$P$$ in bisector of $$\angle ABC$$ such that $$AP$$ is perpendicular to this bisector. Let $$M$$ the middle point of $$AC$$, and $$E$$ the interseccion of $$MP$$ with $$AB$$. If $$EM=15$$ find $$BC$$

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