Use this triangle area Heron's formula calculator to calculate triangle area from sides using the lengths of all three sides. The tool applies the Heron formula automatically.
A = area of triangle
a, b, c = sides of triangle
s = semi-perimeter
This Heron formula calculator allows you to compute triangle area from three sides without knowing height.
| a | b | c | Area |
|---|---|---|---|
| 3 | 4 | 5 | 6 |
| 5 | 5 | 6 | 12 |
| 7 | 8 | 9 | 26.832816 |
| 10 | 12 | 14 | 66 |
| 8 | 15 | 17 | 60 |
To calculate triangle area from sides manually:
1. Measure all three sides a, b, and c.
2. Compute the semi-perimeter: s = (a+b+c)/2.
3. Apply Heron's formula: A = √(s(s-a)(s-b)(s-c)).
4. The result is the triangle area.
This triangle area Heron's formula calculator instantly calculates the area from three sides using the Heron formula. Results are accurate up to six decimal places.
It is useful for students, teachers, engineers, and anyone working with triangles without knowing the height.
• Heron's formula is named after Hero of Alexandria.
• It allows calculation of area without height.
• Works for any triangle type: equilateral, isosceles, or scalene.
• Triangles are used extensively in surveying and construction.
• Knowing side lengths is sufficient to determine many properties of triangles.