#herons formula

Why does every freaking time some kiddo wants us to solve their problems for them!!!!!!????

And why do u even wanna calculate the area of a damn paper plane?????!!!!!!

Class 9th Maths solutions Chapter 12:Herons formula

Class 9th Maths solutions Chapter 12:Herons formula NCERT Solutions for Class 9 Maths Chapter 12 – Herons formula solved by Expert Teachers as per NCERT (CBSE) Book guidelines. These solutions are part of NCERT Solutions for Chapter 12 Maths, Herons formula. Here we have given Class 9 NCERT Maths Text book Solutions for Chapter 12 Herons formula  Class 9 You can practice these here…

How do you find the area of a triangle? The most common formula used to find the area is ½ base x height. However there are other methods you can use based on the information given. Check out the chart below for more methods to find the area of a triangle.

What you know…..

Method to use

  Base and altitude of triangle

1/2 Base times Height

  Video

Altitude of triangle missing

Heron’s formula

Video

Two sides and included angle

Side angle Side SAS

Video

Triangle Equilateral

Equilateral Triangle Area

Video

X and Y coordinates of the vertices

Box Method

Video

    For more information and practice problems please see

 The goal of this post is to give you several methods for finding the area of a triangle and a video that goes with each method. The method used to find the area is based on the information you are given.

  If you know the Base and Altitude use      half base times height

 Video half base times height

 If you don’t know the altitude    use  Heron’s formula

 Video Heron's formula

 If you know Two sides and included angle     use Side Angle Side ( SAS)

 Video Side angle side

  If you know X and Y vertices of the corners  use Box Method

 Video Box Method

   If you know Triangle is equilateral   use    Equilateral Triangle Area

   Video Equilateral Area Method

 If you know Triangle is isosceles     use    ½ base times height

 Video Half base * height

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

    2

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);

Area = √ 16380;

Area = 127.98 inch2.