A rhombusMathworldPlanetmath (plural rhombi, or rhombuses) is a quadrilateralMathworldPlanetmath 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 parallelogramMathworldPlanetmath.

In any rhombus, the diagonalsMathworldPlanetmath are always perpendicularMathworldPlanetmathPlanetmathPlanetmath. A nice result following from this, is that joining the midpointsMathworldPlanetmathPlanetmathPlanetmath of the sides, always gives a rectangleMathworldPlanetmath.

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

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