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