The formula to calculate the Breadth of Rectangle (b) is:
\[ b = d \cdot \sin\left(\frac{\angle d(\text{Acute})}{2}\right) \]
Where:
Breadth of Rectangle is any one of the pair of parallel sides which are shorter 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.
Acute Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is less than 90 degrees.
Let's assume the following values:
Using the formula:
\[ b = 10.000 \cdot \sin\left(\frac{1.222}{2}\right) \]
Evaluating:
\[ b \approx 5.736 \]
The Breadth of Rectangle is approximately 5.736 Meters.
| Diagonal (d) (Meters) | Acute Angle (∠d(Acute)) (Radians) | Breadth (b) (Meters) |
|---|---|---|
| 8.000 | 1.000 | 3.835 |
| 8.000 | 1.222 | 4.589 |
| 8.000 | 1.500 | 5.453 |
| 10.000 | 1.000 | 4.794 |
| 10.000 | 1.222 | 5.737 |
| 10.000 | 1.500 | 6.816 |
| 12.000 | 1.000 | 5.753 |
| 12.000 | 1.222 | 6.884 |
| 12.000 | 1.500 | 8.180 |