Category:Definitions/Pedal Triangles

This category contains definitions related to Pedal Triangles.
Related results can be found in Category:Pedal Triangles.

Pedal Triangle of Point with respect to Triangle

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 $PF$.

$\qquad$

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