The formula to calculate the Length of Rectangle (l) is:
\[ l = d \cdot \sin\left(\frac{\angle d(Obtuse)}{2}\right) \]
Where:
The Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.
Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.
Obtuse Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is greater than 90 degrees.
Let's assume the following values:
Using the formula:
\[ l = 10 \cdot \sin\left(\frac{1.9198621771934}{2}\right) \]
Evaluating:
\[ l \approx 8.19152044288888 \]
The Length of Rectangle is approximately 8.19152044288888 Meters.
| Diagonal (d) (Meters) | Obtuse Angle (∠d(Obtuse)) (Radians) | Length (l) (Meters) |
|---|---|---|
| 8 | 1.5 | 5.453110080187 |
| 8 | 1.9198621771934 | 6.553216354311 |
| 8 | 2.2 | 7.129658880491 |
| 10 | 1.5 | 6.816387600233 |
| 10 | 1.9198621771934 | 8.191520442889 |
| 10 | 2.2 | 8.912073600614 |
| 12 | 1.5 | 8.179665120280 |
| 12 | 1.9198621771934 | 9.829824531467 |
| 12 | 2.2 | 10.694488320737 |