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GeoGebraGeoGebra Classroom

Pivot Triangle

Take any point P and construct its pedal triangle by dropping perpendiculars to the sides of the triangle and constructing a triangle using the feet of these perpendiculars (DEF) "Pivot" these perpendiculars around P. Where these pivoted perpendiculars intersect the sides of the triangle construct a new triangle using these points as the vertices (GHI) This new triangle is always similar to the original pedal triangle. (Drag point G)