The formula to calculate the Height of an Isosceles Triangle from the Vertex is:
\[ h = \sqrt{\text{Legs}^2 - \frac{\text{Base}^2}{4}} \]
The Height of an Isosceles Triangle is the perpendicular distance from the base of the triangle to the opposite vertex. The Legs are the two equal sides of the triangle, and the Base is the third and unequal side.
Let's assume the following values:
Using the formula:
\[ h = \sqrt{9^2 - \frac{6^2}{4}} \approx 8.4853 \]
The Height is approximately 8.4853 Meters.
| Legs (Meters) | Base (Meters) | Height (Meters) |
|---|---|---|
| 8 | 6 | 7.416198487095663 |
| 8.5 | 6 | 7.952986860293433 |
| 9 | 6 | 8.485281374238570 |
| 9.5 | 6 | 9.013878188659973 |
| 10 | 6 | 9.539392014169456 |