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Formula to Calculate Area of Equilateral Triangle

Triangle is one of the basic geometric shapes that a child studies in their elementary math classes. It is an important topic that finds its applications in many fields and subjects. Knowledge of this two-dimensional geometric shape and its properties is significant for children to learn other topics in trigonometry and geometry. We can classify triangles into different types based on the length of their sides and angels. An equilateral triangle is a triangle with equal sides and angles with a measure of 60 degrees. The area of equilateral triangle formula is used to determine the total space enclosed within its sides. The other two types of triangles are isosceles and scalene.

Introduction to Equilateral Triangle

An equilateral triangle is a triangle with equal sides and angles with a measure of 60 degrees. An equilateral triangle is not just mathematically important; it is also significant to the way we build structures and foundations, both physically and virtually. The equilateral triangle is one of the most common types of triangles used in architecture. An equilateral triangle has three congruent sides and angles measuring 60 degrees on each corner. Equilateral triangles are special because they are strong. A well-known application of equilateral triangles in architecture is the Pyramids in Egypt. Each side of the pyramids is an equilateral triangle– the testimony of the strength of the triangles in architecture.

Among the various two-dimensional shapes that are built from metal struts, the triangle is the strongest. Thus triangles are vastly used in the field of architecture and construction, from pylons to bracing. By applying the perimeter and area of the triangle formula, we can determine the various dimensions of such a building or a structure.

Formula to Calculate Area of an Equilateral Triangle

Calculating the area of a triangle is an important skill used by many professionals in different fields. The total space enclosed within the sides of an equilateral triangle is called the area of an equilateral triangle. It is calculated by using the formula √3/4 × (side)2.

For example, if the length of a side of an equilateral triangle is 2 cm, then the area of this triangle can be √3/4 × (2)2 = √3 sq. centimeter.

Properties of Equilateral Triangles

  • An equilateral triangle is a regular polygon with three sides and three vertices.
  • All three sides of an equilateral triangle are equal.
  • An equilateral triangle has congruent angles equal to 60 degrees.
  • The perpendicular from one corner of an equilateral triangle to the opposite side bisects it into equal halves. The angle at the vertex from which the perpendicular is drawn is divided into two equal angles, i.e., 30 degrees each.
  • The ortho-center and centroid of an equilateral triangle are at the same point.
  • The median, angle bisector, and altitude for all sides are all the same in an equilateral triangle.
  • The formula used to calculate the area of an equilateral triangle is √3/4 ×(side)2.
  • The formula used to calculate the perimeter of an equilateral triangle is 3a, where a is the length of a side.

Conclusion:

Understanding the concept of the area of an equilateral triangle is highly crucial for kids to attain an in-depth understanding of its various applications. By applying the concepts of the area of the triangle, they can learn to calculate the dimensions of triangular shapes such as a building or a structure. Cuemath provides geometry worksheets created by math experts to help students learn and practice these concepts with ease.

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