What is HERON'S formula? with example and explanation.

Heron's formula is used to find the area of a triangle in terms of the length of its sides. This formula is applicable to all types of triangles.

Let a, b and c denotes the length of the sides of ∆ABC.

Area of , where s is the semi - perimeter of the triangle.

∴ semi - perimeter of .

Take an example of a ∆ ABC where sides are given as 250 cm, 170 cm and 120 cm and we have to find out the area of ∆ABC.

Area of triangle, , where

∴ Area of triangle,

Hence, area of triangle is 9000 cm2.

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