# 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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