general

definition of equilateral triangle

At the behest of the Geometry, a triangle It's that one polygon that is made up of three lines, which intersect two by two at three non-aligned points.

In a triangle, those points where the lines meet are known as vertices, meanwhile, sides of the same will be each line segment, and for its part, the union of two sides ends up forming the interior angles of the triangle in question.

From the above, then, we will obtain the salient physical characteristics of this flat figure, which are: three internal angles, three external, also three vertices and three sides.

Now, there are different types of triangles, while in relation to the length of their sides we find the equilateral triangle, which is the one that we will deal with below and which is characterized by presenting all three sides the same size, a question for which they also turn out to be equiangular, that is, its three internal angles will have the same measure, which in this case is 60 °.

The construction of this type of triangle is plausible to do it from the use of a ruler and a compass, these basic instruments and widely used in this matter to draw lines, angles, among others.

In the case of the equilateral triangle, the tracing process is quite simple, first, a circumference must be drawn, then the compass must open at the mean of 120 °, then three points will be marked, each one respecting the same distance and finally join the plotted points.

It should be noted that this geometric figure has always been very present in the life of man, since it appears in many of the constructions made by him. The archaeological site baptized as Lepenski Vir, in Serbia, a prehistoric settlement that is around eight thousand years old. The aforementioned was a certainly advanced civilization that already dominated subjects such as urbanism, architecture, mathematics, astronomy and geometry at that time.

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