# pedal triangle

The *pedal triangle ^{}* of any triangle $\mathrm{\u25b3}ABC$,
is the triangle whose vertices are the feet of perpendiculars

^{}from $A$, $B$ and $C$ to their opposite sides in $\mathrm{\u25b3}ABC$.

In this figure, the $\mathrm{\u25b3}DEF$ is the pedal triangle of $\mathrm{\u25b3}ABC$.

In general, for any point $P$ inside a triangle, the *pedal triangle* of $P$ is a triangle whose vertices are the
feet of perpendiculars from $P$ to the sides of the triangle.

In the following figure, the $\mathrm{\u25b3}{D}^{\prime}{E}^{\prime}{F}^{\prime}$ is the pedal triangle of $P$ in $\mathrm{\u25b3}ABC$.

Title | pedal triangle |
---|---|

Canonical name | PedalTriangle |

Date of creation | 2013-03-22 13:08:28 |

Last modified on | 2013-03-22 13:08:28 |

Owner | CWoo (3771) |

Last modified by | CWoo (3771) |

Numerical id | 8 |

Author | CWoo (3771) |

Entry type | Definition |

Classification | msc 51-00 |