The formula to calculate the Short Diagonal of Trapezoid is:
\[ d_{Short} = \sqrt{B_{Long}^2 + L_{Long}^2 - (2 \cdot B_{Long} \cdot L_{Long} \cdot \cos(\angle_{Smaller Acute}))} \]
Short Diagonal of Trapezoid is the length of the line joining the corners of the larger acute angle and the larger obtuse angle of the Trapezoid. Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid. Long Leg of Trapezoid is the longer side among the pair of non-parallel and opposite sides of the Trapezoid. Smaller Acute Angle of Trapezoid is the smaller angle on the long base or the angle made by the long base and long leg of the Trapezoid.
Let's assume the following values:
Using the formula:
\[ d_{Short} = \sqrt{15^2 + 11^2 - (2 \cdot 15 \cdot 11 \cdot \cos(0.872664625997001))} = 11.5706563687373 \]
The Short Diagonal is 11.5706563687373 Meters.
| Long Base (Meters) | Short Diagonal (Meters) |
|---|---|
| 14 | 10.909693681149221 |
| 14.5 | 11.233910828823323 |
| 15 | 11.570656368737282 |
| 15.5 | 11.918868448676129 |
| 16 | 12.277571477710646 |