The triangle is a geometric figure, like the square, the pentagon , the rhombus and the trapezoid, among others.
Triangle is a term originating from the Latin triangulus that is used in geometry to identify a polygon composed of 3 sides . This geometric figure is achieved from the union of three lines that intersect at three misaligned points. Each of these points where the lines join is called a vertex , while the segments that can be seen in the figure are referred to as sides .
A triangle, according to theory , always has three sides and an equal number of vertices and internal angles . It is usually known by the name of its vertices, designated with capital Latin letters: triangle ABC .
Types of triangles
There are different ways to classify a triangle. Depending on the width of its angles, for example, it can be called a right triangle (it has a right internal angle, delimited by a pair of sides known as legs , while the remaining one is called the hypotenuse ), acute triangle ( its three interior angles are acute) or obtuse triangle (one of its angles is obtuse).
Another possible classification of triangles is given by the length of the sides. In this sense, we can differentiate between the equilateral triangle (all sides share an identical length with each other), the isosceles triangle (if two sides have the same measurement) and the scalene triangle (all its sides have different extensions).
A triangle can develop geometric transformations such as translation, rotation and reflection.
Trigonometry
Trigonometry studies trigonometric functions or relationships, associated with the measurement of triangles and angles. Its principles have relevance in telecommunications, nautical, astronomy and other areas.
These functions are the secant , the tangent , the sine , the cosecant , the cotangent and the cosine . At the same time, there are other important terms for making measurements and calculations, such as the bisector and bisector , as well as notable points such as the circumcenter , the incenter , the orthocenter , and the barycenter .
The Pythagorean theorem states that, in a right triangle, the sum of the squares of the lengths of the legs is identical to the square of the length of the hypotenuse.
The triangle as a musical instrument
In the field of music , a triangle is an element that is part of the group of percussion instruments . It consists of a metal rod similar in appearance to the geometric figure that gives it its name, tied to a loop or cord, which produces sounds when hit with a stick of the same material. The sound is born from the vibrations of the metal after the blow.
The triangle is characterized by being capable of producing very high notes, although with a height that is difficult to identify. The musician is able to generate an open or closed sound according to the way he holds the instrument.
The foundation of 3D entertainment
Given the successful return of the third dimension to cinema and its gradual acceptance in the world of video games, it is necessary to make a distinction between this effect, technically called stereoscopic 3D , and the technique that is based on the use of triangles and other polygons to build 3-dimensional models, very popular since the mid- 90s .
The first effective approach to 3D gaming was, without a doubt, the responsibility of id Software , co-founded by acclaimed programmer John Carmack . Thanks to titles like Wolfenstein 3D and Doom , gamers experienced an unprecedented level of immersion, which would change the foundations of digital entertainment forever.
These games , however, used techniques and tricks to simulate the depth of their settings and characters, since in many cases they were images without volume that changed according to the player's perspective. In a short time, the foundations of 3-dimensional development were established, and the triangle was chosen by the majority as the basic geometric figure.
The display of triangles and other polygons
For a few years, the most prominent names in the industry struggled to increase the number of polygons that their engines (the set of tools necessary to develop a game) were capable of putting on screen. It is known that millions are invested a year in research to increase this value, which is increasingly less important in the final product.
Although triangles form the basis of almost any three-dimensional object, it would be impossible to achieve an amount of detail comparable to reality based on such a figure . To overcome this limitation, a series of visual effects are used that can substantially improve the appearance of a model.
A mysterious region
A triangular-shaped area that develops between the Bermuda Islands, Puerto Rico and Miami is known as the Bermuda Triangle . The concept began to become popular in the 1950s when various authors began to allude to supposed inexplicable events that occurred in the area.
It is often said that paranormal events occur in the Bermuda Triangle that cause the disappearance of boats and aircraft. However, most cases can be explained by meteorological and geological reasons.
Beyond the rational, many people continue to believe in the mysteries of the Bermuda Triangle . In this framework, they refer to everything from the existence of a black hole to the presence of extraterrestrials, including sea monsters and the influence of the mythological sunken continent known as Atlantis .