Rhombus: Difference between revisions
imported>Paul Wormer (I read the text as if a parallelogram had 4 equal sides, changed it) |
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(Since sin(180-x)=sin(x) this does not depend on the choice of the angle.) | (Since sin(180-x)=sin(x) this does not depend on the choice of the angle.) | ||
Any rhombus can [[tile (mathematics)|tile]] a plane with no voids. | Any rhombus can [[tile (mathematics)|tile]] a plane with no voids.[[Category:Suggestion Bot Tag]] | ||
Latest revision as of 07:00, 12 October 2024
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.