Herons Formula Calculator

As a mathematics student, you know that a triangle is one of the most common figures in geometry. You will get a lot of questions related to this figure to solve them to find area, perimeter, and other measurements. The most complicated task is the area calculation of the Scalene Triangle.

It is because this triangle has all three sides of different lengths. Don’t worry, if you don’t know how to do so. Heron’s formula is the simplest approach to perform this calculation. This Heron’s Calculator can help you in completing this task within seconds. You can use this maths calculator for solving your mathematical problems as well as for learning purposes.

What is Heron’s Formula?

It is a specific formula used for finding the area of a Scalene Triangle. Heron’s formula involves all sides of the triangle in addition to a specific value that is calculated by adding lengths of all sides and dividing the sum by “2”.

In Heron’s formula, this specific quantity is represented by the alphabet “s”. It is actually the semi-perimeter of the triangle that is half of the triangle’s perimeter.

What is the formula of Heron’s Formula Calculator?

As this formula is used for area calculation, that’s why, it involves all sides of the triangle. Here is the general representation of Heron’s Formula:

Area = √s (s-a) (s - b) (s - c) sq. units	

In the above formula,

  • “s” represents the semi-perimeter of the triangle.
  • “a”, “b”, and “c” represents the sides of the triangle.

How to find the area using Heron’s Formula?

Solving a triangle using Heron’s Formula is not difficult as it seems to be. You can easily accomplish this task by adopting the basic Mathematical operations. Check the following example for a better understanding.


Example 1:

Find the area of a triangle if the measures of its sides are 3m, 7m, and 8m.


First of all, we have to find the value of “s” to put in Heron’s Formula.

s = a + b + c/2	
s = 3 + 7 + 8/2 m	
s = 9m	

Now, we have to put the values in the above Heron’s Formula.

Area = √s (s-a) (s - b) (s - c) sq. units	
= √9 (9-3) (9 - 7) (9 - 8) sq. meters	
= √9 (6) (2) (1) sq. m	
= √108 sq. m	
= 10.39 m2	

How to use Heron’s Formula Calculator?

Using this online tool by Calculator’s Bag is pretty simple. Here are the steps you have to follow in this regard.

  • Insert the values of lengths of the triangle one by one
  • This calculator will automatically show you the value of the Perimeter and Area of that triangle.

FAQ | Herons Formula Calculator

How to calculate Heron's formula?

To calculate the area of a triangle using Heron’s formula, you only have to use the following formula.

Area = √s (s-a) (s - b) (s - c) sq. units	

What is Heron's formula in math?

In Mathematics, Heron’s formula is used to calculate the area of a Scalene triangle.

Does Heron's formula work for all triangles?

No, Heron’s formula only works for the Scalene triangle. In terms of Equilateral triangles, all sides will become equal to each other. That’s why, it won’t be suitable for the area calculation of that type of triangle.

Why does Heron's formula not work?

Heron’s formula only works when a triangle has all sides of different measures. If you are dealing with a triangle having lengths of same measures, you can’t apply this formula.

What is the special triangle rule?

In the case of a special triangle, the short sides will be of same length while the hypotenuse will be 2 times the short side.

How do you find the height of a triangle using Heron's formula?

First, we have to find the area of the triangle using Heron’s formula. The height of the triangle is two times the area of the triangle divided by the base of the triangle.

Is geometric mean biased?

No, the geometric mean is an unbiased estimation of the central tendency of the data.