Category:Definitions/Orthic Triangles

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

Let $\triangle ABC$ be a triangle.

Let $\triangle DEF$ be the triangle formed by the feet of the altitudes $AD$, $BC$ and $ED$ of $\triangle ABC$.

$\triangle DEF$ is known as the orthic triangle of $\triangle ABC$.

That is, the orthic triangle of $\triangle ABC$ is the pedal triangle of its orthocenter.