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Area of a Triangle Using Heron’s Formula

The formula given by Heron for the area of a triangle, is also known as Heron’s formula.
 

      


If a, b, c are the sides of a triangle, its perimeter is given by :

p = a + b + c = 2s , where

s = semi-perimeter and   

Heron’s formula is used for finding the area of a scalene triangle and when the height of the triangle is not known.
Area of the triangle in terms of the sides of the triangle is given by:

 

Area of a triangle =    and


This formula is called 'Heron's formula'.

 

Example :

Find the area of a triangle whose sides are 56 cm, 60 cm and 52 cm. 

Solution :

Here a = 56 cm, b = 60 cm and c = 52 cm
      
Area of a
Δ =



Area of the
Δ =1344 cm2





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