Geometry Problem 1501: Square, Exterior Point, Congruent Angles, Segment, Measurement

Given square ABCD with \(\angle PFB=\angle PEB=\angle PGD=\angle PHA=\alpha\) and \(PF=4,PE=5,PG=16\). Find \(PH\).
Geometry Problem 1501: Square, Exterior Point, Congruent Angles, Segment, Measurement

Problem 1501
Within a square's realm,
An exterior point stands,
Congruent angles unfold,
Segment's length to be measured,
Geometry's enigma awaits.

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