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pedal triangle (Definition)

The pedal triangle of any triangle $ \triangle ABC$, is the triangle whose vertices are the feet of perpendiculars from $ A$, $ B$ and $ C$ to their opposite sides in $ \triangle ABC$.

In this figure, the $ \triangle DEF$ is the pedal triangle of $ \triangle ABC$.

\includegraphics{triangle.1.eps}

In general, for any point $ P$ inside a triangle, the pedal triangle of $ P$ is a triangle whose vertices are the feet of perpendiculars from $ P$ to the sides of the triangle.

In the following figure, the $ \triangle D'E'F'$ is the pedal triangle of $ P$ in $ \triangle ABC$.

\includegraphics{triangle.2.eps}



"pedal triangle" is owned by CWoo. [ full author list (2) | owner history (2) ]
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Cross-references: sides, point, opposite sides, perpendiculars, vertices, triangle
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This is version 5 of pedal triangle, born on 2002-11-09, modified 2007-08-12.
Object id is 3579, canonical name is PedalTriangle.
Accessed 3413 times total.

Classification:
AMS MSC51-00 (Geometry :: General reference works )

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