Eduwhere's Concept: Heron's Formula

 

In order to determine the area of a triangle, Heron’s formula in geometry. The area of a triangle can be calculated if the 3 sides of a triangle are known. For this formula, you need to know the length of all 3 sides of the triangle. This area formula makes the calculation of the area of a triangle by eliminating the use of angles and the need to calculate the height of the triangle. 

 

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Triangles

Let’s learn about all the three types of triangles now. The sum of all the angles of a triangle is 180°. 

 

Equilateral Triangle: A triangle with all sides of equal length and all angles of 60° is an equilateral triangle.

 

Isosceles Triangle: A triangle with any 2 sides equal in length is called an isosceles triangle. 

 

Scalene Triangle: A triangle with no side equal in length to the other is called a scalene triangle. 

 

Now that we know what triangles are, let’s take a look at Heron’s formula.

Heron’s Formula

 

Let’s consider the three sides of a triangle are ‘a’, ‘b’, ‘c’ units. We calculate the perimeter of the triangle as P = a + b + c. Hence, the semi perimeter of the triangle can be calculated as 

s = P/2 = (a+b+c)/2

According to Heron’s formula, the triangle’s area formula is

√[s(s-a)(s-b)(s-c)]

Please note, the above area of triangle formula is applicable for all triangles irrespective of the lengths of their sides.

 

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Very Well Explained Thank You Eduwhere Community



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