The word "rhombus" comes from Ancient Greek: ῥόμβος, romanized: rhómbos, meaning something that spins, which derives from the verb ῥέμβω, romanized: rhémbō, meaning "to turn round and round." The word … See more

Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides. Using congruent triangles, one can prove that the rhombus is See more

The inradius (the radius of a circle inscribed in the rhombus), denoted by r, can be expressed in terms of the diagonals p and q as See more

The dual polygon of a rhombus is a rectangle:
• A rhombus has all sides equal, while a rectangle has all angles equal.
• A … See more

A simple (non-self-intersecting) quadrilateral is a rhombus if and only if it is any one of the following:
• a See more

The length of the diagonals p = AC and q = BD can be expressed in terms of the rhombus side a and one vertex angle α as
$${\displaystyle p=a{\sqrt {2+2\cos {\alpha }}}}$$ See more

As for all parallelograms, the area K of a rhombus is the product of its base and its height (h). The base is simply any side length a:
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