A pedal triangle is the triangle formed
by first choosing an aribtrary point P in the same plane as a
triangle ABC. The perpendiculars to the sides from point P are
constructed and the points of intersection are labeled R, S, T.
These points are the vertices of a pedal triangle.
Click Here to see a GSP script
for the general construction of a pedal triangle.
What happens if pedal
point P is outside of triangle ABC?
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What happens if pedal
point P is the centroid of triangle ABC?
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What happens if P is
the incenter of ABC?
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What happens if P is
the orthocenter of ABC?
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What happens if P is
the circumcenter of ABC?
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What happens if P is
the Center of the Nine Point Circle?
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What happens
if P is on a side of the triangle?
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What happens if P is
one of the vertices of triangle?