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# pedal triangle

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 $\triangle ABC$.

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 $\triangle D^{{\prime}}E^{{\prime}}F^{{\prime}}$ is the pedal triangle of $P$ in $\triangle ABC$.

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## Mathematics Subject Classification

51-00*no label found*

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