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

Geometric Shapes Perimeter Area
Triangle a+b+c \frac { 1 }{ 2 } bh
Rectangle 2(l+b) lb
Square 4s { s }^{ 2 }
Trapezium/Trapezoid a+b+c+d h\frac { { b }_{ 1 }+{ b }_{ 2 } }{ 2 }
Parallelogram 2(b+h) bh
Circle (known as circumference)

2\pi r

 \pi { r }^{ 2 }

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  a+b+c\frac { 1 }{ 2 } bh. 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 = \sqrt { s(s-a)(s-b)(s-c) } , 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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