Enter the three sides of a triangle into the calculator. The calculator will evaluate and display the area using Heron’s formula.
Heron’s Formula
The following formula is used to calculate the area of a triangle.
area = 0.25 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c))
- Where a, b, and c are the lengths of the sides of the triangle.
Heron’s Formula Definition
Heron’s Formula is a mathematical formula used to calculate the area of a triangle when only the lengths of its sides are known. It is important because it provides a simple and efficient way to find the area of any triangle, regardless of its shape or angles.
By using Heron’s Formula, we can avoid complex trigonometric calculations and rely solely on the lengths of the sides. This makes it a valuable tool in various fields, such as architecture, engineering, and surveying, where the area of triangles needs to be determined accurately and quickly.
Heron’s Formula Example
How to calculate heron’s formula?
- First, measure side A.
Measure the length of side A.
- Next, measure side B.
Measure the length of side B.
- Next, measure side C.
Measure the length of side C.
- Finally, calculate the area.
Using heron’s formula, calculate the area of the triangle.
FAQ
Heron’s formula is a formula derived from trigonometric equations that can be used to calculate the area of a triangle given the 3 lengths of the side of that triangle.
Simply measure the 3 lengths of the triangle, and plug the values into the formula above to calculate the area.