Point in a Right Triangle

Geometry Level 4

Triangle \(ABC\) is a right triangle with \(\angle ABC = 90^\circ\). \(P\) is a point within triangle \(ABC\) such that \(\angle APB = \angle BPC = \angle CPA = 120^\circ\). If \(PA = 15\) and \(PB = 6\), what is the value of \(PC\)?

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