Rhombus

From Citizendium
Revision as of 02:12, 20 November 2009 by imported>Paul Wormer (I read the text as if a parallelogram had 4 equal sides, changed it)
Jump to navigation Jump to search
This article is a stub and thus not approved.
 Main Article
 Discussion
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
 
https://en.citizendium.org/wiki/index.php?title=Rhombus&printable=yes
This editable Main Article is under development and subject to a disclaimer.
PD Image
A rhombus. All sides (marked blue) are of equal length; opposite angles (same color arc) are equal; diagonals cross at right angles.

A rhombus or rhomb is a four-sided polygon (a quadrilateral) with sides of equal length. The angles of each pair of opposite vertices are equal. A rhombus is a special case of a parallelogram, a quadrilateral with equal and parallel opposite sides. A square is a special case of a rhombus, where all four vertex angles are equal to 90°.

Properties

As with all quadrilaterals, the sum of the interior angles of a rhombus is 360 degrees; as with a parallelogram, the angles of opposite pairs of vertices are equal, and the sum of the angles of two adjacent vertices is 180 degrees.

The perimeter of a rhombus is equal to 4 times the length of one side. The area of a rhombus is equal to the length of the side multiplied by itself, multiplied by the sine of the angle between the sides. (Since sin(180-x)=sin(x) this does not depend on the choice of the angle.)

Any rhombus can tile a plane with no voids.

Retrieved from "https://citizendium.org/wiki/index.php?title=Rhombus&oldid=629256"