# 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.

**Table of Contents**

## 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.

**Solution:**

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 m^{2}

### 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.