calculation of area for irregular shape by herons formula

 History of Heron’s Formula

Hero of Alexandria was a great mathematician who derived the formula for the calculation of the area of a triangle using the length of all three sides.

 He also extended this idea to find the area of quadrilateral and also higher-order polygons.

Heron’s Formula for Triangles

According to Heron, we can find the area of any given triangle, whether it is a scalene, isosceles or equilateral, by using the formula, provided the sides of the triangle.

Suppose, a triangle ABC, whose sides are a, b and c, respectively. Thus, the area of a triangle can be given by;

                           

 When do we use Heron’s formula

Heron’s formula is used to find the area of a triangle when all its three side-lengths are known to us

How to Find the Area Using Heron’s Formula

To find the area of a triangle using Heron’s formula, we have to follow two steps:

  • Find the perimeter of the given triangle
  • Then, find the value of the semi-perimeter of the given triangle; S = (a+b+c)/2
  • Now use Heron’s formula to find the area of a triangle (√(s(s – a)(s – b)(s – c)))
  • Finally, represent the area with the accurate square units (such as m2, cm2, in2, etc.)

Sample video link for calculating the area of irregular shape is given below:   https://youtu.be/ItITc0tQjkk

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