Category:Orthic Triangles

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This category contains results about Orthic Triangles.
Definitions specific to this category can be found in Definitions/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 $\triangle ABC$.

Orthic-Triangle.png

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

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