Herons Formula Calculator


What is Heron's Formula Calculator?

'Cuemath's Heron's Formula Calculator' is an online tool that helps to calculate the area of a triangle. Cuemath's online Heron's Formula calculator helps you to calculate the area of a triangle in a few seconds.

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 Example:

Find the area of the triangle if the sides of the triangle are 3,4,5units?

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.

Similarly, you can try the 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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