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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