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rhombus (Definition)

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.

\includegraphics[scale=2]{rhombus}
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

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



"rhombus" is owned by yark. [ full author list (2) | owner history (2) ]
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See Also: quadrilateral, parallelogram, rectangle, square, parallelogram law, kite

Also defines:  rhombi, rhombuses
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Cross-references: area, lengths, rectangle, midpoints, perpendicular, diagonals, parallelogram, angles, square, sides, quadrilateral
There are 14 references to this entry.

This is version 10 of rhombus, born on 2001-12-12, modified 2007-06-05.
Object id is 1088, canonical name is Rhombus.
Accessed 17139 times total.

Classification:
AMS MSC: 51-00 (Geometry :: General reference works )
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