Now, let’s get one thing straight: The area of an equilateral triangle is not the perimeter of an equilateral triangle. Before we begin, let’s review what an equilateral triangle is - a triangle with three equal side lengths and three equal internal angles of 60° each. ![]() The area of a triangle is expressed in square units, like, m 2, cm 2. As discussed above, the area can vary from one triangle to another based on the length of the sides and the angles enclosed in it. The area of a triangle is the region enclosed within the sides of the triangle. Similarly, we can use Heron's formula for any triangle whose three sides are known. If we are able to find the height of the Triangle in the graph, then we can calculate the area. Note: It's not necessary for the Triangle to be right-angled to use the Pythagoras theorem. If it's not a right triangle, then Heron's formula can be used after calculating the semi-perimeter by using the sides of the Triangle. If the Triangle forms a right-angled triangle, then the basic formula of the Triangle can be used, which is half of the product of height and base. When three vertices of a triangle on the coordinate plane are known, then we can do the following check: When the Vertices of a Triangle on the Coordinate Plane are given Here, ‘s’ is the length of the sides of an equilateral triangle. To formula to find the area of an equilateral triangle is given below: When the side of the Equilateral Triangle is givenĪn equilateral triangle is a triangle with all sides equal. Here, a = base, b = height and c = hypotenuse. ![]() The height of a right-angled triangle can be calculated by using the Pythagoras theorem that states: The square of the length hypotenuse (the longest side of a right triangle) is equal to the sum of the square of the other two sides (base and perpendicular) Moreover, even if the length of height is not given instead, the length of any two sides is given then the length of height can be found by using the Pythagoras theorem.Īrea of a right-angled triangle = 1/2 x base x height Thus, there is no need for the projection of a perpendicular base from a vertex. One of the three sides of a right-angled triangle itself is height. ![]() When any two sides of a Right-Angled Triangle are givenĪ right-angled triangle is a special triangle used as a base of trigonometry, calculus, etc. The measurement of the semi-perimeter of a triangle having sides a,b and c is important to find the area of the triangle using Heron's Formula. Thus, Heron's formula helps us to find the area of a triangle having irregular sides. This formula is used for triangles whose angles are not given and the calculation of height is complicated. Where 's' is the semi-perimeter of the triangle. It states that the area of the triangle of sides a, b, and c is equal to: If the length of three sides of a triangle is given then how to calculate the area of a triangle by using Heron's Formula. When the Three Sides of a Triangle are given The vertices of a triangle on the plane coordinate are given. The length of one side of the equilateral triangle is given. The length of any two sides of a right triangle is given. The length of all the three sides of a triangle is given. The length of the two sides of a triangle is given. Given below are the methods to find the area of Triangle with pieces of information given. It is also important to know that the sum of all the interior angles of a triangle is always 180 degrees. Three line segments connecting the dots are the sides of the triangle, the point of intersection of two lines is known as vertex and the space between them is called an angle. A triangle can be formed by joining any three dots such that the line segments connect each other end to end. In other words, it is the size of the surface of any 2D figure like rectangle, square, triangle, circle, etc.Ī triangle is a closed 2D figure having three sides, three vertices, and three angles. The area is the measurement or the quantitative value of the two-dimensional space occupied by an object. Note: Base & Height of a triangle are perpendicular to each other. This formula is applicable to all types of triangles. The general formula for the area of a triangle is equal to half the product of its Height and Base, i.e., A = 1/2 × b × h. The measurement of this triangular surface is called the area of the triangle.īasically, the area of a triangle can be defined as the total space occupied by the 3 sides of a triangle in a 2D plane. In order to do so, you need to cover the surface of the triangular floor or pizza. Suppose, you need to find out the expense of installing carpet over a triangular floor or you need to lay an extra layer of cheese on a triangular piece of pizza.
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