The Importance Of Euclidean Geometry

In Jason Marshall’s article, Marshall describes Euclidean geometry as the type of geometry students typically learn in school. Euclidean geometry is also known as “plane geometry” because Euclid outlined, derived, and summarized the geometric properties of objects that exist in a flat two-dimensional plane (2014). In comparison to Non-Euclidean geometry, not everything lives in a two-dimensional flat world. In the second half of 19th century, mathematicians and researchers got to thinking about the surface of the earth and remembered that the earth is not flat, instead it is a spherical object. After Non-Euclidean geometry attracted the attention of mathematicians and researchers, both Euclidean and non-Euclidean geometry is used and seen on an everyday basis.

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Euclidean geometry was viewed as an essential component of education, not just for aspiring mathematicians, scientists, and engineers, but for everyone (Clark, 2010). Many careers are revolved around Euclidean geometry for many years. For example, construction and engineering contains a lot of Euclidean geometry knowledge or geometry in general. The study of Euclidean geometry are points, lines, angles, triangles, circles, squares and other shapes. It is important for people to understand the importance of Euclidean geometry because it is the essential component of education and life.

One of the common concepts of Euclidean geometry that is being taught in school is the area of an object. The simplest case is a rectangle with sides a and b, and has area ab. By putting a triangle into an appropriate rectangle. One can show that the area of the triangle is half the product of the length of one of its bases and its corresponding height, thus the formula to find the area of a triangle is bh/2 (Artmann, 2016, para. 8). The study of triangles is very essential in