The ratio between the side of a square $ c = 1 $ and its diagonal is $ \frac 1 { \sqrt 2 } $; a square is a type of rhombus.
The ratio between the side $ c = 1 $ of a rhombus, with angle $ a = \frac \pi 3 $ and its longest diagonal $ AC $ is $ \frac c {AC} = \frac 1 { \sqrt 3 } $, while the other diagonal $ BD = 1 $.
What is the equation for the lengths of the diagonals of a rhombus of side $1$?
Is the ratio of the side and at least one diagonal of a rhombus always irrational? (i.e. not an exact fraction)
Best Answer
No, you can make a rhombus out of four identical Pythagorean right triangles, such as (3, 4, 5).