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Geometry Level 5

A circle is inscribed in a rhombus ABCD \text{ABCD} with one angle 60° \text{60°} . The distance from the center of the circle to the nearest vertex is equal to 1 1 . If P \text{P} is any point of the circle, then |PA|² + |PB|² + |PC|² + |PD|² \text{|PA|² + |PB|² + |PC|² + |PD|²} equals


The answer is 11.

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1 solution

Ahmad Saad
Oct 15, 2015

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