Pythagorean theorem and other formulas we use without realizing it

A math it has numerous questions that may seem complex, but that ultimately help us to understand natural logics and other very philosophical questions. During your school years, you must have heard of the Pythagorean theoremCertain?

Nowadays, although many people do not know how to say what this formula, it can be said that it is very important and easy to understand, and can be used in different moments of our daily lives. Want to know how? Stay tuned for everything we’ll cover in the text below!

Mathematics can be transformative on many levels and very useful in different areas. (Shutterstock/Reproduction)Fonte:  Shutterstock

What is the Pythagorean Theorem?

You may remember from math classes, when you learned that: “In a right triangle the sum of the squares of the legs is equal to the square of the hypotenuse”, the phrase of the philosopher and mathematician Pythagoras of Samos, became known as the Pythagorean Theorem, or a² + b² = c², being (C), leg 1 (A) and leg 2 (B). It is interesting to note how this formula fits within the study of geometry and the relationships between sides of triangles, something that mathematics has come to call Trigonometry.

Although there are historical records that guarantee that the theorem developed by the philosopher had actually already been thought of by the Babylonians, it was Pythagoras who gave its due importance proving that there was indeed a relationship between all sides of a right triangle.

According to Pythagoras, the sum of the squares of the legs is equal to the square of the hypotenuse.  (Shutterstock/Reproduction)According to Pythagoras, the sum of the squares of the legs is equal to the square of the hypotenuse. (Shutterstock/Reproduction)Fonte:  Shutterstock

There are several possibilities and demonstrations within this area, in which many scholars have dedicated their lives in search of results and deepening. It is even possible to prove the values ​​of the sine, cosine and tangent angles from the trigonometric circle.

But calm down that the intention of this subject is not to give you a math class, but to show you with formulas and calculations learned in school are more present in your life than you might think. In civil engineering, for example, several operations need to be carried out so that the construction of houses and buildings can happen safely. But it is not just in engineering that mathematics is present in everyday life.

everyday math

Present in different areas of our life, mathematics can be essential for the proper functioning of various applications that we use on our smartphones, for example. For its design it is necessary to apply formulas that use logic and variables during execution. Even, when turning on the television and watching any animation whatsoever, it is necessary to remember that for its development the use of mathematics was necessary, since the computer graphics and application of movements required several formulas and calculations.

The art world also uses this philosophical and empirical system in several places. Paintings can resort to proportioning techniques, which were previously stipulated by mathematics, just as in cinema it is necessary to calculate the focus of the cameras to define what will be in the foreground or background in a frame.

Notice how mathematics is also present in music.  (Shutterstock/Reproduction)Notice how mathematics is also present in music. (Shutterstock/Reproduction)Fonte:  Shutterstock

Musical structures also need mathematics to understand musical scales and assist in the composition of tones and melodies. And what would architecture be without measurements, calculations and formulas? Professionals in this field use all kinds of operations in their respective work, whether they are composition and artistic conception or determination of areas.

Other important math formulas

Mathematics is quite broad and has many ramifications. Along with geometry and trigonometry, there is also algebra, which considers some simple mechanisms of this field of studies, such as systems and operations, to deepen some knowledge and commonly without realizing it, we use formulas in our daily lives, as simplified functions.

In a store, for example, we may receive some discounts on the price of some products. These discounts usually come in a percentage format. This is where an important mathematical formula comes in. To find out what the effective value of the discount is, we can consider that a percentage represents a value divided by 100. Therefore, we can write: p% = p/100.

And to determine a discount, we perform a multiplication over the final amount to understand how much it represents in terms of percentage. Thus, we understand that: p% x Total Value = Result/100. For example: If I can receive a 25% discount on 500 reais, we make 25 x 500, whose result is 12500. With this value, we divide by 100 to find out what 25% of 500 is. In this case, 125.

The infamous Rule of Three can also be applied in various moments of our daily lives. We can even think about this percentage question with a rule of three, in which there is one unknown and three values ​​already determined. To understand better, just write the values ​​according to their relationship and do a cross multiplication, creating a 1st degree equation. By solving it, it is possible to find the desired result.

It is possible to expand our mind and knowledge by understanding mathematical logic.  (Shutterstock/Reproduction)It is possible to expand our mind and knowledge by understanding mathematical logic. (Shutterstock/Reproduction)Fonte:  Shutterstock

Thinking of mathematics as a logical system, we are able to perform several operations seen as complex without the need for a calculator in many cases. For this, we can round values ​​and deduce results to reach conclusions that will help us to understand the world. There are many direct relationships already known in mathematics that are in common use in many fields, even those in which we did not imagine.

In this way, be willing to face all these problems with good eyes so that nothing seems more difficult than it actually is, especially since the operations of mathematics will be present in our daily lives in different ways.

Did you like the article? If you are studying for public competitions, ENEM or vestibular, take advantage of our tips to do well in all the questions of these tests!

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