\begin{definition}[Definition:Pedal Triangle/Point]
Let $\triangle ABC$ be a triangle.
Let $P$ be a point in the plane of $\triangle ABC$.
Let $PD$, $PE$ and $PF$ be perpendiculars dropped from $P$ to $BC$, $AC$ and $AB$ respectively.
Let $\triangle DEF$ be the triangle formed by the feet of the perpendiculars $PD$, $PE$ and $PF$.
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$\triangle DEF$ is known as the '''pedal triangle of $P$ with respect to $\triangle ABC$'''.
\end{definition}