Area of Triangle

 The area of a triangle is the region that states the total space occupied by the three sides of a triangle; it is the area enclosed within the slides of the triangle that helps to calculate the area of the triangle. The area of triangles varies from one triangle to another triangle as it is commonly known that different types of triangles are equilateral, scalene, and isosceles on the bases of sides. Similarly, there are different types of triangles based on angles such as right-angled triangles, acute and obtuse. As it is to be known that all the polygons are divided into triangles. depending upon the length and slides of the internal angles the area of a triangle can be found out.  The area of a triangle can be expressed in a square unit like in meter square, centimeter square, and so on. 

Definition of the area of a triangle

The triangular area of a triangle can be evaluated as the base of the triangle multiplied by the height of the triangle and that is divided by 2.  The area of a triangle is measured as the area that is covered by the triangle with the region that is enclosed by the sides of the triangle the area of the triangle that is occupied by the 2-dimensional planes of the triangle. The area of the triangle can be calculated by applying three various formulas. It can be known about the length of three triangle sides.  The formula is applied for all types of triangles such as in scalene triangle, isosceles triangle, and equilateral triangle. It should be remembered that the base and the height of the triangle should be perpendicular to each other.  To find out the area of triangle trigonometry functions are used.  The basic formula that helps to find out the area of the triangle is equal to 1/2 multiplied by base and height.  The triangles can be classified into acute, obtuse, and right-angle triangles. 

Formula of the area of a triangle

By considering   the triangle as ABC  with all its sides  lengths a,b,c  to find out the area of the triangle by using the heron’s formula 

Area = √(s(s-a)(s-a)(s-c), 

Where, S= half of the perimeter.

Where, S= (a+b+c)/2. 

Here in this portation, it states the formula that has been used in the area of a triangle that mainly suggests that the area of the triangle can be explained as meter (m) square, centimeter (cm ) square, and inchi (in) square. Herons formula is also used to calculate and evaluate the triangle area such as it required the exact length of three sides of the triangle.  to use these herons formulas it is also required to know about the perimeter of the triangle that is the distance covered within the triangle. and it is calculated by adding the length of all three sides the important steps that are required for following these formulas are to find out the semi perimeter of the given triangle by adding all the three sides divided by the two. Another point to follow is by applying the value of the semi perimeter of the triangle that is required to follow the main formula called herons. 

Application of triangular area

The triangle area is very important in every field of work such helps in many practice applications like science, calculating, agriculture, architecture and eve4n in our daily life such as how much cloth is needed to cover the window or to buy carpet, bed sheets and so on . For all this work the area of a triangle is required. For many research work areas of the triangle are required such as to find out some dimensions of the area it needs to follow the area of the triangle formula.  By knowing the area of the triangle we can find out the quadrilateral area by dividing it into two parts. Similarly, by this way, we can also find out the area of a polygon on any side.  In all these applications we can calculate the area of any geometrical figure. Applications of these formulas are not only limited to mathematics, to solve any physics, engineering-related problems. This formula has so many advantages. In trigonometry, there are many advantages to right angles and triangles. To calculate the values of trigonometry ratio, these formulas are very helpful. Pythagoras formula, which is defined on a  right angle triangle, helps to calculate the trigonometry ratios and identities. Besides all these, there are many other applications in other fields. By this way we can find out the application and various results by using this triangle area. 

Conclusion :

In this portion, it can be discussed about the area of the triangle that has been used in various fields and also has a different application.  here in this portation, it can be concluded that the area of the triangle is not only used in mathematics but also used in the various fields that help us to know about the various application of the triangle and its area, here in this research work it can be found that the area of a triangle is also related with the daily life application that is mentioned above. Here in this portation, it is also discussed about the various formula that is used to find out the area of the triangle.