# Gergonne triangle

Let $ABC$ be a triangle and $D,E,F$ where the incircle^{} touches the sides $BC,CA,AB$ respectively. Then triangle $DEF$ is called the *Gergonne triangle* or *contact triangle* of $ABC$.

Title | Gergonne triangle |

Canonical name | GergonneTriangle |

Date of creation | 2013-03-22 12:11:14 |

Last modified on | 2013-03-22 12:11:14 |

Owner | drini (3) |

Last modified by | drini (3) |

Numerical id | 6 |

Author | drini (3) |

Entry type | Definition |

Classification | msc 51-00 |

Synonym | contact triangle |

Related topic | Triangle |

Related topic | GergonnePoint |

Related topic | Incircle |

Related topic | Incenter^{} |

Related topic | Centroid |

Related topic | Grafix |