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# Heron's Formula Calculator

'**Heron's Formula Calculator**' is an online tool that helps to calculate the area of a triangle.

## What is Heron's Formula Calculator?

Online Heron's Formula calculator helps you to calculate the area of a triangle in a few seconds.

### Heron's Formula Calculator

## How to Use Heron's Formula Calculator?

Please follow the steps below to find the area of a triangle using heron's formula:

**Step 1:**Enter the sides a, b, c of a triangle in the given input box.**Step 2:**Click on the**"Calculate"**button to find the area of a triangle.**Step 3:**Click on the**"Reset"**button to clear the fields and find the area of a triangle for different sides.

## How to Find Heron's Formula?

The area of a triangle can be calculated by using Heron's formula if we only know the length of all three sides of the triangle.

**Heron's Formula is given by A = √(s(s - a)(s - b)(s - c)),**

Where 'A' is the area of a triangle, 's' is the semi-perimeter of half perimeter of the triangle, and a,b, and c are sides of a triangle and s = (a + b + c) / 2

**Solved Examples on Heron's Formula Calculator**

**Example 1:**

Find the area of the triangle if the sides of the triangle are 3, 4, 5units and verify it using the heron's formula calculator.

**Solution:**

Given: a = 3, b = 4, c = 5

s = (a + b + c) / 2

s = (3 + 4 + 5) / 2

s = 12 / 2 = 6

Heron's Formula is given by A = √(s(s-a)(s-b)(s-c))

= √(6 (6 - 3) (6 - 4) (6 - 5))

= √(6) (3) (2) (1)

= √36

= 6 square units.

**Example 2:**

Find the area of the triangle if the sides of the triangle are 7, 8, 9units and verify it using the heron's formula calculator.

**Solution:**

Given: a = 7, b = 8, c = 9

s = (a + b + c) / 2

s = (7 + 8 + 9) / 2

s = 24 / 2 = 12

Heron's Formula is given by A = √(s(s - a)(s - b)(s - c))

= √(12 (12 - 7) (12 - 8) (12 - 9))

= √(12) (5) (4) (3)

= √720

= 26.83 square units.

Similarly, you can try the heron's formula calculator to find the area of the triangle for

a) length of sides a = 6units, b = 7units, c = 8units

b) length of sides a = 13units, b = 12units, c = 11units

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