What is the Area of an Equilateral Triangle?

Geometry is a branch of mathematics that deals with spatial figures and shapes in a fairly abstract way. Geometry is applied to measure distances, find the size of shapes, and solve real-world problems. Here in this article, let us see what an equilateral triangle is and what is the area of an equilateral triangle.

Geometry can be divided into two areas: Euclidean and non-Euclidean geometry. Euclidean geometry is named after the Greek mathematician Euclid, who was one of the first people to study the subject.

The term comes from the ancient Greek word “geometria,” which means “earth measurement.” Non-Euclidean geometry is basically any geometry that deviates from Euclid’s theories. Non-Euclidean geometries were discovered by different mathematicians such as Bolyai and Lobachevsky in the 19th century.

If we draw three straight lines intersecting at three points, we get the geometrical shape called a triangle. Now, these triangles are classified as different types like equilateral, right isosceles, obtuse isosceles, acute isosceles, right scalene, obtuse scalene, and acute scalene.

An equilateral triangle is one that has all three sides equal, and also the angles are equal, measuring 60 degrees which makes it easier to understand and solve the problems around it. Geometry usually revolves around the study of different shapes and their properties.

If we talk of area of triangle it means the space that the triangle occupies in the two-dimensional space. Triangle is the simplest polygon in geometry. All the three sides of an equilateral triangle have the same median, angle bisector, and also the altitude.

The area of an equilateral triangle is very easy to calculate because the triangle is symmetrical, and every side of the triangle measures equal. It can be calculated by the formula which says : (square root of 3)/ 4 * a*a, where ‘a’ is the side of a triangle.

Triangles are one of the basic shapes of geometry. They are also considered as one of the basic building blocks in mathematics, and so they have many uses. Hence to make students easily understand the concept of triangles, they are advised to practice from triangle worksheets.

Studies show that this type of shape has a strong correlation to mathematical thinking, which is important for students. Students should not give up on using this as an educational tool because it can help with many things, such as problem-solving and reasoning skills.

One of the uses of triangle worksheets is their importance in learning geometry. Triangles have a well-defined geometrical property, so they can be used as models for other shapes like quadrilateral and hexagon. The sum of all the given angles inside a triangle is 180 degrees.

Practicing geometry worksheets will help the students in not only understanding the problem being presented but they will also get to know how to draw all the different basic kinds of triangles. This will ensure their learning process of taking accurate measurements, which is an important skill to have while learning geometry.

Cuemath is one such website where teachers, as well as the students, can find a variety of triangle worksheets. These are easy to download and are printable too. With problems and concepts presented in visually appealing patterns and images, as well as the pictorial depiction of concepts, will enable students to retain and recall these concepts whenever required. Also, if at any point they get stuck, there are answer keys too provided along with these worksheets, which have detailed explanations to the solutions provided by the expert team at Cuemath.