One of the thinkers who led the new intellectual course was Thales de Mileto, considered the first pre-Socratic, the current of thought that broke with mythical thought and took the first steps in philosophical and scientific activity. In the science of trigonometry when referring to the Thales (or Thales) Theorem, it should be clarified that we are specifying since; there are two theorems attributed to the Greek mathematician Thales of Miletus in the 6th century BC. C. The first one refers to the construction of a triangle that is similar to an existing one (similar triangles are those with the same angles).
The original works of Thales are not preserved, but his main contributions are known through other thinkers and historians: he predicted the solar eclipse of 585 BC. C, defended the idea that water is the original element of nature and also stood out as a mathematician, his most recognized contribution being the theorem that bears his name. According to legend, the inspiration for the theorem comes from Thales' visit to Egypt and the image of the pyramids.
The geometric approach to Thales' theorem has obvious practical implications. Let's look at a concrete example: a 15 m high building projects a 32 meter shadow and, at the same moment, an individual casts a 2.10 meter shadow. With these data it is possible to know the height of said individual, since it is necessary to take into account that the angles that cast their shadows are congruent. Therefore, with the data in the problem and the principle of Thales' theorem at the corresponding angles, it is possible to know the height of the individual with a simple rule of three (the result would be 0.98 m).
Another very popular theorem is that of Pythagoras, which indicates that the square of the hypotenuse (that is, the side with the longest length and which is opposite the right angle), in a right triangle, is identical to the sum of the squares of the legs (that is, the smallest pair of sides of the right triangle). Its applications are innumerable, both in the field of mathematics and in everyday life.
In fact, it is one of the easiest theorems to use and can solve many problems without technical or advanced knowledge. Making measurements on straight surfaces, such as floors or walls, is much simpler than extending a meter from one point to another by drawing an oblique line in the air, especially if the distance is such that it requires several steps.
