EQUILATERAL triangle definition and characteristics

In this new lesson from a PROFESSOR we bring you an essential topic in the area of ​​geometry: the equilateral triangle and its main characteristics. To begin, we are going to introduce the basic concept of a triangle, and then present a brief explanation of the definition of equilateral triangles. Finally, we are going to highlight the most important characteristics of an equilateral triangle.

As usual, in a TEACHER, we will support the theoretical description with images for greater understanding by the students.

Index

1. The triangle and its classification according to its sides
2. Definition and characteristics of equilateral triangle
3. Other characteristics of the equilateral triangle

A triangle it's a polygon or geometric figure that is formed by union of three straight lines at three different points in space. As a consequence of this union of lines, the triangle is formed which is composed of three sides, three vertices and three internal angles, which always and in any case, the sum of these angles will be 180 (always represented in degrees).

The triangle has two types of classification: according to its sides and based on its angles. In the current lesson at hand, we will not present the complete typology of triangles; However, it is important to mention that the equilateral triangle is a type of triangle that is related both to the angles that make it up, and to the sides it has.

There are types of triangles that only obey or are related with respect to their angles and others, on the contrary, in relation to their sides. The particular thing about this type of equilateral triangle is that it is related to both components of the triangle, making it a class of polygon much studied and analyzed in geometry in general.

Already entering the central theme that brings us to this lesson, we begin by pointing out that an equilateral triangle is a type of triangle that has its three equal sides. Likewise, the equilateral triangle is a regular polygon; in other words, its three sides are the same length, as we mentioned earlier.

In addition to this, within the equilateral triangle its three internal angles are equal. Which means that each angle measures 60 degrees, since the sum of the angles of a triangle must be 180 degrees; naturally if their angles are equal then they will measure 60 degrees each.

This is in accordance with what was pointed out in the previous section, and that is that the triangle is equilateral, in relation to both their sides and their angles (in both cases, the elements are equal between Yes).

In the image you will be able to visually appreciate what is described in this section.

In addition to what was mentioned in the previous section, from a PROFESSOR we consider it important to add other characteristics of the equilateral triangle. They are as follows:

• The equilateral triangle is a triangle that obeys the principle of symmetry in all its aspects; This principle is precisely what gives it its original equilateral name, it comes from the concept of equity or equality, because that is its main characteristic: equity between all its components, be it sides, angles or axes.
• In this sense, and with the intention of going a little deeper, it is also of interest to mention that the equilateral triangle has three lines of symmetry: each of these axes pass through a vertex and through the midpoint (half) of the opposite side.

Precisely this shows what has already been highlighted in previous lines, and it is that to easily remember the properties of an equilateral triangle We must remember three words: equity and symmetry, since they are present in each of the property and composition of this peculiar and interesting figure.

To appreciate this concept graphically, we leave an image that reflects this principle of symmetry.

If you want to read more articles similar to Equilateral triangle: characteristics, we recommend that you enter our category of Geometry.