The formula to calculate the Circumradius of an Isosceles Triangle given the Legs and Height is:
\[ r_c = \frac{S_{\text{Legs}}^2}{2h} \]
The Circumradius of an Isosceles Triangle is the radius of a circumcircle touching each of the triangle's vertices. The Legs of the Isosceles Triangle are the two equal sides of the triangle. The Height is the perpendicular distance from the base of the triangle to the opposite vertex.
Let's assume the following values:
Using the formula:
\[ r_c = \frac{9^2}{2 \cdot 8} = 5.0625 \]
The Circumradius is 5.0625 Meters.
| Legs (Meters) | Height (Meters) | Circumradius (Meters) |
|---|---|---|
| 8 | 8 | 4.000000000000000 |
| 8.5 | 8 | 4.515625000000000 |
| 9 | 8 | 5.062500000000000 |
| 9.5 | 8 | 5.640625000000000 |
| 10 | 8 | 6.250000000000000 |