Difference between revisions of "Rhombus"

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A '''rhombus''' is an equilateral quadrangle, which is a [[polygon]] having four sides of equal length.  In non-academic contexts, its forms are called diamonds and [[square]]s.
 
A '''rhombus''' is an equilateral quadrangle, which is a [[polygon]] having four sides of equal length.  In non-academic contexts, its forms are called diamonds and [[square]]s.
  
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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.
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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:

Revision as of 19:22, April 19, 2008

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A rhombus is an equilateral quadrangle, which is a polygon having four sides of equal length. In non-academic contexts, its forms are called diamonds and squares.

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>