A rhombus cannot be defined solely by the length of one side, say a; we also need the angle between two consecutive sides, say α. The two rhombi shown opposite have sides of the same length a, but different vertex angles. They are therefore different mathematical objects, even though their sides have the same length. Do they have the same area?
Two rhombi. Which is "larger" than the other?
A simple calculation
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One remarkable property of rhombi is that their diagonals are perpendicular and bisect each other. A rhombus is therefore made up of four congruent right triangles whose area is easy to calculate.
