Euler is Everywhere! #3

Geometry Level 4

Triangle \(ABC\) with area \(25\) is inscribed in a circle with radius \(5.\) A point \(P\) is selected such that it is \(3\) units away from the center of this circle. Let \(A', B', C'\) be the feet of the perpendiculars dropped from \(P\) to the sides of \(ABC.\) Find the area of \(A'B'C'.\)

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