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Euler's Theorem for Pedal Triangles

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Let ABC be a triangle and P an arbitrary point. Let A', B', and C' be the feet of the perpendiculars from P to the sides of ABC. Let O and R be the center and radius of the circumcircle. Then .

Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA

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