The formula to calculate the Base Area of a Triangular Prism is:
\[ A_{\text{Base}} = \frac{1}{4} \sqrt{(S_a + S_b + S_c)(S_a + S_b - S_c)(S_b + S_c - S_a)(S_c + S_a - S_b)} \]
The Base Area of a Triangular Prism is the total amount of two-dimensional space occupied by the base face of the prism. The Side A, Side B, and Side C of the Base are the lengths of the three edges of the triangular base.
Let's assume the following values:
Using the formula:
\[ A_{\text{Base}} = \frac{1}{4} \sqrt{(10 + 14 + 20)(10 + 14 - 20)(14 + 20 - 10)(20 + 10 - 14)} \approx 64.9923072370877 \]
The Base Area is approximately 64.9923072370877 Square Meters.
| Side A (Meters) | Side B (Meters) | Side C (Meters) | Base Area (Square Meters) |
|---|---|---|---|
| 9 | 14 | 20 | 54.985793619806927 |
| 9.5 | 14 | 20 | 60.112882094855507 |
| 10 | 14 | 20 | 64.992307237087687 |
| 10.5 | 14 | 20 | 69.663000177640924 |
| 11 | 14 | 20 | 74.151449749819463 |