Sums of Squares of Segments Created by a Pedal Triangle

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The triangle formed by projecting a point onto the sides of a triangle or their extensions is a pedal triangle.

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Let ABC be a triangle, P a point, and A'B'C' the corresponding pedal triangle. Then .

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


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