The formula to calculate the Side of a Rhombus given its long diagonal is:
\[ S = \frac{d_{\text{Long}}}{2 \cos\left(\frac{\angle_{\text{Acute}}}{2}\right)} \]
The Side of a Rhombus is the length of any of the four edges. The Long Diagonal of a Rhombus is the length of the line joining the acute angle corners of the rhombus. The Acute Angle of a Rhombus is the angle inside the rhombus which is less than 90 degrees.
Let's assume the following values:
Using the formula:
\[ S = \frac{18}{2 \cos\left(\frac{0.785398163397301}{2}\right)} \approx 9.74152980263125 \, \text{meters} \]
The Side of the Rhombus is approximately 9.74152980263125 meters.
| Long Diagonal (meters) | Side of Rhombus (meters) |
|---|---|
| 16 | 8.659137602338888 |
| 17 | 9.200333702485068 |
| 18 | 9.741529802631248 |
| 19 | 10.282725902777429 |
| 20 | 10.823922002923609 |