Definition:Pedal Triangle/Point

Definition
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 $PF$.


 * Pedal-Triangle-of-Point.png $\qquad$ Pedal-Triangle-of-Point_2.png

$\triangle DEF$ is known as the pedal triangle of $P$ with respect to $\triangle ABC$.