Heron’s Formula : CBSE Class 9 Chapter 12

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Before proceeding to Heron’s formula let us recall the following formulas.

Geometric Shapes	Perimeter	Area
Triangle
Rectangle
Square
Trapezium/Trapezoid
Parallelogram
Circle	(known as circumference)

Watch the above table, If we want to find the area of a triangle whose base and height is known to us then the formula is  . But if we want to find the area of a scalene triangle, then we can find it easily using Heron’s formula.

According to Heron’s formula, Area of a triangle = , where a,b,c are three sides of the triangle and s is the semi-perimeter or half-perimeter of the triangle.

Heron’s Formula can also be used to find area of a quadrilateral if sides and one diagonal are given. First divide the quadrilateral into two triangles, find their area using Heron’s formula and again add them.

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