The formula to calculate the Height of an Isosceles Trapezoid is:
\[ h = \frac{1}{2} \sqrt{(4 \cdot le_{\text{Lateral}}^2) - (B_{\text{Long}} - B_{\text{Short}})^2} \]
The height of an isosceles trapezoid is the perpendicular distance between the pair of parallel base edges. The lateral edge is the length of the pair of opposite and non-parallel edges. The long base is the longer side among the pair of parallel sides, and the short base is the shorter side among the pair of parallel sides.
Let's assume the following values:
Using the formula:
\[ h = \frac{1}{2} \sqrt{(4 \cdot 5^2) - (15 - 9)^2} \approx 4 \]
The Height is approximately 4 Meters.
| Lateral Edge (Meters) | Long Base (Meters) | Short Base (Meters) | Height (Meters) |
|---|---|---|---|
| 4.5 | 15 | 9 | 3.354101966249685 |
| 5 | 15 | 9 | 4.000000000000000 |
| 5.5 | 15 | 9 | 4.609772228646444 |