Area of Triangle Formula

Everybody is aware of the fact that a triangle is a shape that consists of three corners that are situated on three different sides. Therefore, the measurements of areas of these three different sides are popularly called the area of the triangle. The area of the triangle is always shown in square units. Two formulas are used to measure the area of the triangle in one formula the base is multiplied by the height of the triangle and is divided by 2 and the other formula is but complex one is popularly known as Heron’s formula. These two formulas are highly used to measure the area of the triangle. 

What is the Area of the Triangle 

As discussed in the previous parts, the area of the triangle is nothing but the measurements of all three sides of a triangle. A triangle is a three-sided polygon with several square units covered by the polygon. An area of the Triangle is measured and expressed in square units. There are two formulas used to measure the area of the triangle. 

Area of Triangle Formula 

An area of a Triangle is usually recognized by two important formulas one is the Heron’s formula and the other one is a formula which could be done just by multiplying the base with the height of the triangle divided by two and the area of the triangle could be obtained. In the second formula, the division by 2 is generally done because a triangle is part of a parallelogram and a parallelogram is a combination of two triangles. 

The area of Parallelogram is B×H 

Therefore, the Area of the triangle is B×H ÷ 2 

Area of Equilateral Triangle 

An Equilateral Triangle is one type of triangle which has three equal sides of equal lengths and in an equilateral triangle, all the sides are placed at 60° to each other. An equilateral triangle is a regular polygon with all three sides equal. The word equilateral is derived from two different words equi and lateral which mean equal and sides. 

Area of Isosceles Triangle 

The area of an Isosceles Triangle is the area covered by two sides of the Isosceles Triangle in two-dimensional space. An Isosceles Triangle is a type of triangle that is defined as a triangle that consists of two equal sides which denotes the fact that this type of triangle has two equal angles. The area of an Isosceles Triangle is shown in square units such as cm sq, in sq, m sq, etc. 

Area of Right-Angled Triangle 

The area of a right-angled triangle is nothing but the area presents at the boundaries of the sides of a triangle. A right-angled triangle is again a specific kind of triangle in which one side is at a right angle or a 90° position. In a right-angled triangle, the side which is at 90° is considered as hypotenuse and the other two sides are considered as base and height respectively. The area of a right-angled triangle is also measured in square units. 

The formula for the area of the right-angled triangle is 1/2 × Base × Height 

Area of Scalene Triangle 

 Scalene Triangle is a special kind of triangle that is different from other forms of the triangle, in Scalene Triangle the three sides consist of totally different lengths, and the measurements of its angles are also different from each other. Therefore, the area of a Scalene Triangle is nothing but the amount of space in the interior part of the Scalene Triangle. However, the angles of all the sides of this triangle are different from each other but the total of all three sides is still 180°. 

Area of SAS Triangle (Side Angle Side Condition) 

SAS here refers to the property of this triangle which is Side Angle Side, which means there are two sides in this kind of triangle, and angles between these two sides are given. The area of the SAS Triangle is the total measurement of space surrounded by the 2-dimensional plane. A SAS triangle is a type of triangle with two sides and one included angle. Thus, with the help of the area of the SAS triangle formula, one can measure the space between the two sides of the SAS triangle plane. 

Heron’s Formula in Area of Triangle 

Heron’s Formula is the formula which is often used to measure the area of the Triangle. This formula was named after Heron of Alexandria in 62. CE brought this formula to measure the area of a triangle into consideration the lengths of each side of the triangle. For instance, if r, s, and t are three different sides of a triangle. Then the formula will be expressed as 

Area of triangle = √s(s-a) (s-b) (s-c) 

Here, S us the half of the perimeter or semi perimeter. 

S = a+b+c /2