# Heron's Formula Calculator

Heron's Formula is used to calculate the area of a triangle with the three sides of the triangle. You have to first find the semi-perimeter of the triangle with three sides and then area can be calculated based on the semi-perimeter of the triangle. The formula was derived by Hero of Alexendria, a Greek Engineer and Mathematician. Enter the values of the length of the three sides in the Heron's Formula Calculator to calculate the area of a triangle.

## Area of a Triangle Calculation

Heron's Formula is used to calculate the area of a triangle with the three sides of the triangle. You have to first find the semi-perimeter of the triangle with three sides and then area can be calculated based on the semi-perimeter of the triangle. The formula was derived by Hero of Alexendria, a Greek Engineer and Mathematician. Enter the values of the length of the three sides in the Heron's Formula Calculator to calculate the area of a triangle.

#### Formula:

S = (a+b+c)/2
Area = √(S x (S - a) x (S - b) x (S - c))
**Where,**
a = Side A
b = Side B
c = Side C
S = Area of Triangle
### Example:

Find the area of a triangle using Heron's formula given : Side A = 5cm, Side B = 8cm, Side C = 10 cm

#### Solution:

S = (a+b+c)/2

= (5+8+10) / 2

= 11.5 cm

Area = √(S x (S - a) x (S - b) x (S - c))

= √(11.5 x (11.5 - 5) x (11.5 - 8) x (11.5 - 10))

= 19.81 cm^{2}