Difference between revisions of "Rhombus"
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| − | A rhombus is an equilateral | + | [[Image:Gdhytd svg.png|right|thumb|400px]] |
| + | A '''rhombus''' is an [[equilateral]] [[quadrilateral]], which is a [[polygon]] having four sides of equal length. | ||
| − | Its area is the product of its diagonals divided by two. Note that its diagonals are perpendicular to each other, and bisect each other. | + | A [[square]] is a [[special case]] of a rhombus where all four [[interior angle]]s are ninety degrees. |
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| + | 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>https://www.merriam-webster.com/dictionary/diamond sense 3</ref> | ||
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| + | 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 D<sub>1</sub> and D<sub>2</sub> is: | In symbolic form, the area of a rhombus having diagonals of lengths D<sub>1</sub> and D<sub>2</sub> is: | ||
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<br><math>A=B \times H</math> | <br><math>A=B \times H</math> | ||
| − | [[Category:Geometry]] | + | == References == |
| + | <references/> | ||
| + | [[Category:Plane Geometry]] | ||
Latest revision as of 19:34, September 26, 2018
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>