Herons formula is used to find the area of triangle when the length of all sides a triangle is given. With the help of hero’s formula we can easily calculate the side of the triangle.
Let’s have a triangle whose sides are ‘m’, ‘n’, ‘o’ are the length of the sides of a triangle, then we will see how to Define Heron's Formula.
Heron’s formula is given by:
Area of a triangle = √ p (p – m) (p – n) (p – o);
In the given formula ‘p’ is the half of the perimeter, then the perimeter of a triangle is given by:
Perimeter of a triangle =f + g + h
Now we will see how to find the area of triangle using heron’s formula:
To find the area of triangle we need to follow steps which are mention below:
Step 1: To find the area of triangle first it is necessary to find all sides lengths of triangle.
Step 2: If we have all sides’ length of a triangle then we have to find the perimeter.
Step 3: When we have all sides’ length and perimeter of a triangle then we can easily find out the area of triangle with help of heron’s formula.
Let the sides of a triangle is 16 inch, 17 inch and 19 inch. Then we have to find the area of triangle by using heron’s formula. (know more about Heron's formula, here)
As we know that the heron’s formula is given by:
Area of a triangle = √ p (p – m) (p – n) (p – o);
First we have to find the perimeter,
Perimeter = 16 + 17 + 19 / 2;
Perimeter = 52 / 2 = 26 inch.
Now put the perimeter in the formula and we get:
Area of a triangle = √ 26 (10) (9) (7);
To do solving equations with variables on both sides we have to get all variables terms to one side and constant terms another side. School board are continuously working for the welfare of the students and In the next session we will discuss about Reciprocal Definition