# rhombus

A *rhombus ^{}* (plural

*rhombi*, or

*rhombuses*) is a quadrilateral

^{}with its four sides equal. A square is a rhombus, but a rhombus need not be a square, since the angles need not all be equal. Every rhombus is, however, a parallelogram

^{}.

In any rhombus, the diagonals^{} are always perpendicular^{}.
A nice result following from this,
is that joining the midpoints^{} of the sides, always gives a rectangle^{}.

If $D$ and $d$ are the lengths of the diagonals, then the area of the rhombus is

$$\frac{Dd}{2}.$$ |

Title | rhombus |

Canonical name | Rhombus |

Date of creation | 2013-03-22 12:02:38 |

Last modified on | 2013-03-22 12:02:38 |

Owner | yark (2760) |

Last modified by | yark (2760) |

Numerical id | 14 |

Author | yark (2760) |

Entry type | Definition |

Classification | msc 51-00 |

Related topic | Quadrilateral |

Related topic | Parallelogram |

Related topic | Rectangle |

Related topic | Square |

Related topic | ParallelogramLaw |

Related topic | Kite |

Defines | rhombi |

Defines | rhombuses |