Difference between revisions of "Rhombus"
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A '''rhombus''' is an [[equilateral]] [[quadrilateral]], which is a [[polygon]] having four sides of equal length. | A '''rhombus''' is an [[equilateral]] [[quadrilateral]], which is a [[polygon]] having four sides of equal length. | ||
| − | A [[square]] is a [[special case]] of a rhombus where all four [[interior angle | + | A [[square]] is a [[special case]] of a rhombus where all four [[interior angle]]s are ninety degrees. |
In non-academic contexts, the term diamond can be applied to a rhombus, particularly if it is oriented with one of its diagonals vertical.<ref>http://www.merriam-webster.com/dictionary/diamond sense 3</ref> | In non-academic contexts, the term diamond can be applied to a rhombus, particularly if it is oriented with one of its diagonals vertical.<ref>http://www.merriam-webster.com/dictionary/diamond sense 3</ref> | ||
Revision as of 18:28, July 13, 2016
A rhombus is an equilateral quadrilateral, which is a polygon having four sides of equal length.
A square is a special case of a rhombus where all four interior angles are ninety degrees.
In non-academic contexts, the term diamond can be applied to a rhombus, particularly if it is oriented with one of its diagonals vertical.[1]
Its area is the product of its diagonals divided by two. Note that its diagonals are perpendicular to each other, and bisect each other.
In symbolic form, the area of a rhombus having diagonals of lengths D1 and D2 is:
<math>A=\frac{D_1 \times D_2}{2}</math>
This area also equals the length of a side (B) multiplied by the length of the perpendicular between two opposite sides (H):
<math>A=B \times H</math>