The formula to calculate the Median of an Isosceles Triangle from the Vertex is:
\[ M = \frac{\sqrt{4 \cdot S_{\text{Legs}}^2 - S_{\text{Base}}^2}}{2} \]
The median of an isosceles triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. The legs are the two equal sides of the isosceles triangle, and the base is the third and unequal side.
Let's assume the following values:
Using the formula:
\[ M = \frac{\sqrt{4 \cdot 9^2 - 6^2}}{2} \approx 8.48528137423857 \]
The Median is approximately 8.48528137423857 Meters.
| Legs (Meters) | Base (Meters) | Median (Meters) |
|---|---|---|
| 8.5 | 6 | 7.952986860293433 |
| 9 | 6 | 8.485281374238570 |
| 9.5 | 6 | 9.013878188659973 |