Nature is a great teacher. Before the invention of boats and ships, fish already had their unique shape, allowing them to move under water. Also, long before the existence of humans, nature gave birds mechanisms and structural features that conquer the skies. We humans look at it and learn. All that we have is partly due to nature. Geometric shapes are no exception. By and large, everything consists of them.
Snake eye geometry
It is more difficult to see a rhombus in the outside world than a circle or a triangle, but this is possible. The reason for this may be that he is in the most unexpected and unusual places.
For example, a giraffe’s hair, if you look closely, adorns a lot of rhombuses. And you can’t say that it spoils them.
You will not wish anyone to see a rhombus in the eye on the freedom of a living snake. However, the likeness of a rhombus flaunts in the eyes of not only snakes, but also many scaly ones.
It can also be seen in the leaves of plants. It is difficult to argue that nature knows a lot about beauty.
And there are still many such places, but the most unusual is the head of the child. The fontanel on the head of newborns almost exactly repeats the shape of a rhombus.
Is rhombus female happiness?
Perhaps the whole thing is in the same fontanel, but some rhombus assign special magical characteristics. It has long been associated with the feminine and fertility, sown fields. In a variety of cultures, it is perceived as a strong symbol, so it is used to shape the talismans. This symbol promising success in female happiness and the birth of children. Like, you should put on a talisman in the shape of a rhombus - and everything will be fine.
If you look closely, the rhombus is easy to find in other products made by human hands.
Jack and emblems of cars - all this contains the shape of a rhombus. Often it is used for various decorations, beautiful architectural buildings, window shapes, patterns. Speaking of the latter - it is really used a lot in ornaments and patterns. Our ancestors were especially attentive to the ornaments, seeing in them not just different shapes and shapes, but literally reading them. Thus, the rhombus in the ornaments denoted the Sun.
Entertaining facts
There is a fairy tale that says how the Square turned into a Rhombus, after a rich Cylinder jumped over it because of debts. No matter how interesting it is, this is not true, but there are still some interesting stories about the rhombus:
- Huge rhombus. This article talked a lot about rhombs, but they are all tiny compared to the one that 100 skydivers built. They have entertainment, people have a beautiful view.
- Rhombus is literally the strongest. A diamond with drawn diagonals inside is a very hardy structure. When building bridges or buildings, this design is often used.
- Rhombus is a tambourine. So it is translated from the ancient Greek language. That is why the card suit "diamonds" in the form of a rhombus.
- Mr. symmetry. Rhombus is a frequently used form in ornaments. This figure looks concise. A regular rhombus is symmetrical with respect to any of its diagonals.
- Rhombus is a reward! They are often used in the manufacture of awards, for example, for graduating from military academies.
Thus, a rhombus is a very entertaining figure that is worth people's attention. However, the rhombus can also be described in numbers - for some, boring, for someone not.
Rhombus - the value given by mathematics
It was necessary to know and understand geometric figures at all times. Their features helped in the construction of our ancestors, and help now. Therefore, it is necessary to study them. Rhombus - what is it in the understanding of geometry?
A rhombus is a parallelogram in which adjacent sides are equal.
It turns out that the rhombus has several distinctive features:
- Its sides are equal, i.e., AB = BV = VG = GA.
- Diagonals of a rhombus (these are AB and BG) are perpendicular.
- Diagonals divide their peaks (rhombus corners) into two equal parts.
- The crossed diagonals divide each other in half, which means AO = VO and BO = GO.
Having found out what a rhombus is, you can figure out the basic formulas for solving geometric problems.
No formulas in any way
How to find the important components of a rhombus?
| Explanation | Formulas |
Perimeter | It can be obtained by counting all sides of the rhombus. For example, if the side of the rhombus is 2 cm, then the area will be 8 cm. | P = 4a |
Area | The area of the rhombus is the space in it. Most often, two formulas are used. In the first, the area is searched using the side and height of the rhombus. The height of the rhombus is a perpendicular drawn from an angle to the opposite side. In the second formula, the area is sought through the side and sine of the angle. There are two more formulas. In them, the area is determined using the radius and diagonal. | S = a S = a 2 S = 2a S = 0.5d 1 d 2 |
Side | Using area and height, you can find the side. | a = S / h a |
Circle radius | To find the radius, you need to know either the height, or the diagonals and side. | r = h / 2 r = (d 1 d 2 ) / 4a |
Diagonal | The diagonal can be found across the square and another famous diagonal. | d 1 = 2S / d 2 d 2 = 2S / d 1 |
S is the area;
P is the perimeter;
a is the side;
h a is the height;
r is the radius of the inscribed circle;
d 1 is the long diagonal;
d 2 is a short diagonal.
These are the basic formulas that you need to know in order to solve problems with diamonds.
A rhombus in mathematics, a rhombus in ornaments, a rhombus in the surrounding world - it would seem such a simple figure, and so much can be said about it.