# Pentagon

The signboard has the shape of a pentagon ABCDE, in which the line BC is perpendicular to the line AB and EA is perpendicular to the line AB. Point P is the heel of the vertical starting from point D on line line AB. | AP | = | PB |, | BC | = | EA | = 6dm, | PD | = 8.4dm. The point X - the intersection of the lines PE and DA, the point Y - the intersection of the lines PC and BD is marked on the shield. I need to focus the point Z, which is the intersection of the lines XY and PD. Specify | PZ |.

### Correct answer:

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