# 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