How to know the perimeter of a tricot, how to know the sides of the difference. How to know the perimeter of a tricoutnik? Vіdpovіdaєmo to ask. Behind the two sides of a rectangular tricot

How to know the perimeter of a tricoutnik? Such nutrition was put on the skin of us, learning from the school. Try to guess everything we know about this marvelous figure, as well as power task.

Let me tell you about the food, how to know the perimeter of the tricutnik, ring it up, let's just do it - it's more necessary to follow the procedure for folding the dozhins of all sides. However, there is still a sprat simple methods shukanoї size.

Please

In that case, as the radius (r) of the stake, as it is inscribed in the tricutnik, that yoga area (S) is in the house, then it’s easy to feed on those, how to know the perimeter of the tricutnik. For whom you need to speed up with the great formula:

If there are two cuts, for example, α and β, if they lie to the side, and the back of the side itself, then the perimeter can be known for the help of the even more popular formula, as we can see:

sinβ∙a/(sin(180° - β - α)) + sinα∙a/(sin(180° - β - α)) + a

If you know the sum total of the sides and kut β that you can find between them, then in order to know the perimeter, you need to speed up.

P = b + a + √(b2 + a2 - 2∙b∙а∙cosβ),

de b2 and a2 are the squares of the dozhins of the sum sides. Sub-root viraz - tse dozhina of the third party, as if unknown, expressed by looking at the cosinus theorem.

If you don't know how to know the perimeter, then, really, there is nothing coherent. Calculate yoga using this formula:

de b - the basis of the tricutnik, and - yoga side sides.

To know the perimeter of a regular knitwear, follow the simplest formula:

de a - Dovzhina side.

How to know the perimeter of the tricutnik, how to know more than the radius of the kil, how to describe the white or inscribed in the new one? As a tricoutnik є equilateral, then follow the formula:

P = 3R√3 = 6r√3,

de R і r є by the radii of the described and the inscribed stake is clear.

If the tricot is equal-femoral, then for the new one the formula is fixed:

P=2R (sinβ + 2sinα),

de α - tse kut, which lay the foundation, and β - kut, which lay the foundation.

Most of all, for the purpose of mathematical tasks, it is necessary to have a deep analysis and specific inference and find out the necessary formulas, but, as it seems, it is necessary to complete the work of a robot. If you want to do something, you can only write it down for the help of one single formula.

Let's take a look at the formulas, which are the basic ones for finding food for those, how to know the perimeter of the tricot, according to the introduction to the most popular types of trikutnik.

Insanely, the smut rule for knowing the perimeter of the tricot is the firmness: for the meaning of the perimeter of the tricot, it is necessary to add up the values ​​of all sides according to the following formula:

de b, a і h - the center of the sides of the tricot, and Р - the perimeter of the tricot.

Є kіlka okremih vipadkіv tsієї formulas. Perhaps your task is formulated as follows: “how to know the perimeter of a rectangular tricot?” At this time, you should speed up with this formula:

P = b + a + √(b2 + a2)

In this formula b and є without middle dozhins of the catheters of a straight-cut tricutnik. It is not easy to guess that the replacement of the side with (hypotenuse) is victorious, omitting the theorem of the great antiquity - Pythagoras.

If it is necessary to change the order, detrituses should be similar, then it would be logical to speed up these statements: changing the perimeters will confirm the coefficient of similarity. Let's say you have two similar tricots - ΔABC and ΔA1B1C1. Then, in order to find the similarity coefficient, it is necessary to divide the perimeter ABC by the perimeter A1B1C1.

At the end, it can be seen that the perimeter of the knitwear can be known for the help of various methods, in the fallow in the quiet of the weekend, if you have it. It is necessary to add that the deacons are okremі vpadki for straight knitting.

Perimeter trikutnik, as if it were a post, the sum of dozhins of all sides is called. Dosit often tse znachennya help to know the area chi vikoristovuetsya to rozrahunku іnshih parametrіv іguri.
The formula for the perimeter of a tricot looks like this:

Butt rozrahunka perimeter trikutnik. Let me give you a tricot with sides a = 4 cm, b = 6 cm, c = 7 cm. We can give the formula: cm

Perimeter rozrahunka formula rіnofemoral tricot you will look like this:

Perimeter rozrahunka formula equilateral tricot:

Butt of a rozrahunka of the perimeter of a rіvnobіchny tricutnik. If all sides of the figure are equal, you can simply multiply them by three. It is permissible that the correct tricoutnik is given with a side of 5 cm in this case: cm

Zagalom, if all sides are given, it’s easy to know the perimeter. In other situations, it is necessary to know the size of the party that is being rejected. You can know the third side of a straight-cut tricoutnik by Pythagorean theorem. For example, as if knowing the catheters, you can know the hypotenuse for the formula:

Let’s take a look at the butt of the rosary of the perimeter of the equal-femoral tricot for the mind, we know the length of the catheters in the straight-cut equal-femoral tricot.
Danish tricot with legs a = b = 5 cm. Find the perimeter. For the cob we know the side that is rejected. cm
Now let's guess the perimeter: cm
The perimeter of a straight-cut equal-femoral tricot is 17 cm.

In case, if you have a hypotenuse and a dozhina of one leg, you can find the deficiency behind the formula:
If a straight knitter has a hypotenuse and one of the best cuts, then the side that is rejected is known by the formula.

The perimeter of any kind of knitwear is the core of the line that surrounds the figure. Sob yogo count, it is necessary to know about the sum of all sides of the bagatokutnik.

Calculation for these values ​​of the value of the parties

If you know their meanings, it's awkward to work. By designating the number of parameters with the letters m, n, k, and the perimeter with the letter P, we take away the formula for the calculation: P = m + n + k. Header: It seems that the tricot has a side of the headband of 13.5 decimeters, 12.1 decimeters and 4.2 decimeters. Find out about the perimeter. Virishuemo: As for the sides of this bagatokutnik - a = 13.5 dm, b = 12.1 dm, c = 4.2 dm, then P = 29.8 dm. Vidpovid: P = 29.8 dm.

The perimeter of the tricutnik, which can be two equal sides

Such a tricot is called equal-femoral. If the equal sides are equal to a dozen centimeters, and the third side is centimeters, then the perimeter is easy to recognize: P = b + 2a. Task: tricutnik may be on both sides of 10 decimeters, the base is 12 decimeters. Know P. Solution: Let the side side a = c = 10 dm, base b = 12 dm. The sum of the sides P = 10 dm + 12 dm + 10 dm = 32 dm. Vidpovid: P = 32 decimeters.

Perimeter of a equilateral tricot

Since all three sides of the knitwear may have the same number of loneliness in the world, the wine is called equal-sided. One more name is correct. The perimeter of a regular tricot is known from an additional formula: P \u003d a + a + a \u003d 3 a. Headmaster: Maєmo equilateral trikutnu land plot. One side is 6 meters long. Know a fenced house, with which you can enclose your lot. Solution: If the side of this bagatokutnik is a = 6m, then the length of the parkan is P = 3 6 = 18 (m). Response: P = 18 m-code.

Trikutnik, which can cut 90 °

Yogo is called rectilinear. The presence of a direct kuta gives the ability to know the unknown sides, corrosive to the appointed trigonometric functions and the Pythagorean theorem. The found side is called the hypotenuse and is indicated c. There are two more sides, a and b. Inheriting the theorem to bear the name of Pythagoras, maybe c 2 = a 2 + b 2 . Catheti a \u003d √ (c 2 - b 2) and b \u003d √ (c 2 - a 2). Knowing the value of two catheti a and b, we calculate the hypotenuse. Then we know the sum of the sides of the figure, adding up the meanings. Zavdannya: The legs of a straight-cut tricutnik can be 8.3 centimeters long and 6.2 centimeters long. Calculate the perimeter of the tricoutnik. Virishuєmo: Significantly the legs a = 8.3 cm, b = 6.2 cm. According to the Pythagorean theorem, the hypotenuse c = √ (8.3 2 + 6.2 2) = √ (68.89 + 38.44) = √107 33 = 10.4 (cm). P = 24.9(cm). Abo P \u003d 8.3 + 6.2 + √ (8.3 2 + 6.2 2) \u003d 24.9 (cm). Result: P = 24.9 cm. Root values ​​were taken up to tenths. As we know the value of the hypotension of that leg, then the value of P is subtracted by calculating P = √ (c 2 - b 2) + b + c. Task 2: A railing of a land plot, which lies 90 degrees apart, 12 km, one of the catheters - 8 km. In what hour is it possible to go around the whole lot, like 4 kilometers per year? Solution: if the largest airway is 12 km, the smaller b = 8 km, then the length of the entire road is P = 8 + 12 + √ (12 2 - 8 2) = 20 + √80 = 20 + 8.9 = 28.9 ( km). We know the hour, having added a path to swedishness. 28.9:4 = 7.225(year). Note: you can get around in 7.3 years. The value of the square root and vіdpovіdі is taken exactly up to ten. You can know the sum of the sides of a straight-cut tricot, as if one of the three sides is given and the meaning of one of the best cuts. Knowing the length of the leg b and the value of the kuta β, how to lie youma, we know the unknown side a = b/ tg β. We know the hypotenuse c = a: sin. The perimeter of such a figure is known, having put together the value. P = a + a/ sinα + a/ tg α, or P = a(1 / sin α+ 1+1 / tg α). Task: For a straight-cut Δ ABC with a straight cut C leg PS may have a length of 10 m, cut A - 29 degrees. It is necessary to know the sum of the sides of ABC. Solution: Significantly in the house leg BC = a = 10 m, kut, which lies opposite, ∟A = α = 30°, then the leg AC = b = 10: 0.58 = 17.2 (m), hypotenuse AB = c = 10: 0.5 = 20(m). P \u003d 10 + 17.2 + 20 \u003d 47.2 (m). Abo P \u003d 10 (1 + 1.72 + 2) \u003d 47.2 m. Maєmo: P \u003d 47.2 m. The value of trigonometric functions is taken to the nearest hundred, the value of the second side of that perimeter is rounded to ten. Knowing the meaning of the leg α and the adjoining kuta β, we know what the other leg is worth: b = a tg β. The hypotenuse in such a way is closer to the leg, divided by the cosine of the cut β. The perimeter is determined by the formula P = a + tg β + a: cos β = (tg β + 1+1: cos β) a. Task: The leg of the tricot with a kut 90 degrees 18 cm, an adjacent kut - 40 degrees. Know P. Solution: Significantly in the leg of the PS = 18 cm, ∟β = 40°. Then the non-dominant leg AC = b = 18 0.83 = 14.9 (cm), hypotenuse AB = c = 18: 0.77 = 23.4 (cm). The sum of the sides of the figure is equal Р = 56.3 (cm). Abo P \u003d (1 + 1.3 +0.83) * 18 \u003d 56.3 cm. the first one - by the sine and for the other - by the cosine of the second kut. The perimeter of the cієї figure P = (sin α + 1+ cos α)*c. Task: The hypotenuse of a straight-cut tricot AB \u003d 9.1 cm, and kut 50 degrees. Know the sum of the sides of the position. Solution: Significantly hypotenuse: AB = c = 9.1 cm, ∟A = α = 50°, then one of the BC catheters may have a length a = 9.1 0.77 = 7 (cm), AC leg = b = 9 .1 0.64 = 5.8 (cm). This means that the perimeter of this bagatokutnik is healthy P = 9.1 + 7 + 5.8 = 21.9 (cm). Abo P = 9.1 (1 + 0.77 + 0.64) = 21.9 (cm). Result: P = 21.9 centimeters.

Dovіlny trikutnik, one of the sides of such an unknown house

Since there are two possible values ​​of the two sides a і c, i kuta between the sides γ, the third is the cosine theorem: b 2 \u003d c 2 + a 2 - 2 ac cos β de β - kut, which lies between the sides a і c. Let's know the perimeter. Head: ABC maє vіdrіzok AV zavdovka 15 dm, vіdrіzok AU, dozhina 30.5 dm. The value of the cut between the two sides is 35 degrees. Calculate the sum of the sides of ABC. Solution: The theorem of cosine is calculated by the value of the third party. BC 2 \u003d 30.5 2 + 15 2 - 2 30.5 15 0.82 \u003d 930.25 + 225 - 750.3 \u003d 404.95. BC = 20.1 cm. P = 30.5 + 15 + 20.1 = 65.6 (dm). May: P = 65.6 dm.

The sum of the sides of a dovіlny tricoutnik, which dozhini has two sides

If you know more than one double edge and the meaning of two corners, you can recognize a double edge of two invisible sides, coring with the sine theorem: “the sides of the knitter are proportional to the values ​​\u200b\u200bof the sinuses of the opposite corners.” Stars b = (a * sin β) / sin a. Similarly c = (a sin γ): sin a. The perimeter of this time will be P = a + (a sin β) / sin a + (a sin γ) / sin a. Task: May ABC. Newmu has a BC side length of 8.5mm, a C-cut value of 47°, and a B-cut of 35 degrees. Know the sum of the sides of the position. Solution: Significantly lower sides BC = a = 8.5 mm, AC = b, AB = c, ∟ A = α = 47°, ∟B = β = 35°, ∟ C = γ = 180° - (47° + 35°) = 180° - 82° = 98°. Zі spіvvіdnoshen, otrimanih z sine theorem, we know the catheti AC \u003d b \u003d (8.5 0.57): 0.73 \u003d 6.7 (mm), AB \u003d c = (7 0.99): 0.73 = 9.5 (mm). The sum of the sides of the bagatokutnik is more expensive P = 85 mm + 55 mm + 95 mm = 235 mm. Indication: P = 23.5 mm. At a vapadku, if there is more than a dozhina of one vіdrіzka and the meaning of two adjacent kutivs, the kut, the opposite side of the house, is counted on the back. Mustache kuti tsієї figures may 180 degrees. That is why ∟A = 180° - (∟B + ∟C). Dalі znachimo nevidomі vіdrіzki, vikoristovuyuchi sine theorem. Task: May ABC. Vіn maє vіrіzok BC, whо is 10 cm. Find the sum of the sides ΔABC. Solution: First of all, we know the meaning of kuta A, which lies on the side of BC. ∟A = 180° - (48° + 56°) = 76°. Now, using the sine theorem, we can calculate the length of the side AC = 10 0.74: 0.97 = 7.6 (cm). AB=BC* sin C/sin A=8.6. The perimeter of the tricot P \u003d 10 + 86 + 76 \u003d 262 (cm). Result: P = 26.2 cm.

Calculation of the perimeter of the tricutnik with the variation of the radius of the stake inscribed in it

Sometimes, mind the leader, you can’t see the same side. Then there is the value of the area of ​​the tricot and the radius of the stake, inscribed in the new one. Qi the magnitude of the tie: S = r p. Knowing the value of the area of ​​the tricot, radius r, you can know the perimeter p. We know p = S: r. Task: The land plot has an area of ​​24 m 2, the radius r is 3 m. Solution: The sum of the sides of the figure is known as follows: P = 2 24: 3 = 16 (m). Let's break it down for two. 16: 2 = 8. Together: 8 trees.

The sum of the sides of the tricot in Cartesian coordinates

The vertices Δ ABC can be coordinated: A (x 1; y 1), B (x 2; y 2), C (x 3; y 3). We know the squares of the skin side AB 2 = (x 1 - x 2) 2 + (y 1 - y 2) 2; BC 2 \u003d (x 2 - x 3) 2 + (y 2 - y 3) 2; AC 2 \u003d (x 1 - x 3) 2 + (y 1 - y 3) 2. To know the perimeter, it's enough to fold the mustaches. Task: ABC vertex coordinates: B (3; 0), A (1; -3), C (2; 5). Know the sum of the sides of the position. Solution: putting the values ​​of the correct coordinates in the perimeter formula, we take P = √(4 + 9) + √(1 + 25) + √(1 + 64) = √13 + √26 + √65 = 3.6 + 5.1 + 8.0 = 16.6. Maemo: P = 16.6. If the figure is located not on the plane, but on the expanse, then the skin of the vertices can have three coordinates. Therefore, the formula for the sum of the sides is one more addendum.

vector method

Since the figure is given by the coordinates of the vertices, the perimeter can be calculated using the vector method. Vector - vіdrіzok, scho maє straight ahead. Yogo module (dovzhina) is denoted by the symbol ǀᾱǀ. V_dstan m_zh points - the value of the double vector, or the module of the vector. We can look at the tricutnik that lies on the flat. Since the vertices can be coordinates A (x 1; y 1), M (x 2; y 2), T (x 3; y 3), then the length of the skin on the sides is known by the formulas: ǀAMǀ = √ ((x 1 - x 2 ) ) 2 + (y 1 - y 2) 2), ǀMTǀ = √ ((x 2 - x 3) 2 + (y 2 - y 3) 2), ǀATǀ = √ ((x 1 - x 3) 2 + (at 1 - at 3) 2). We take away the perimeter of the tricutnik, adding up the length of the vectors. Similarly, to know the sum of the sides of the tricot in the space.

One of the main geometric figures is a tricot. Vіn utvoryuєtsya at retinі three vіdrіzkіv straight lines. The given cuts of the straight lines make up the sides of the figure, and the points of their feathering are called vertices. Kozhen schoolboy, teaching the course of geometry, is guilty of shukati the perimeter of the position. Otrimane vminnya will be brown for riches and in a grown-up life, for example, I will become a student, an engineer, a worker,

Іsnuyut different ways know the perimeter of the tricot. Choose the formula you need to deposit for the last weekend. In order to write down this value in mathematical terminology, the vicorist has a special meaning - R. Let's look at what the perimeter is, the main ways to design for the knitted figures of different species.

Himself in a simple way know the perimeter of the figure, as well as the data of all sides. In this way, the following formula is victorious:

The letter "P" denotes the value of the perimeter itself. I have my own line "a", "b" and "c" - the values ​​of the sides.

Knowing the size of three values, it will be enough to take away your sum, as a perimeter.

Alternative

IN mathematical problems all the data of the future are rarely found in the house. At times it is recommended to speed up in an alternative way to find the required value. If in the minds there is a double line of two straight lines, and also a cut, which is known between them, the rozrahunok is carried out through the third search. For a search for a quantity, you need to get square root behind the formula:

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Perimeter on both sides

For rozrahunku the perimeter is not required to know the data geometric shapes. Let's look at the way of rozrahunka from both sides.

Rivnofemoral tricot

Such a tricoutnik is called equal-femoral, which is less than two sides of which can make the same dozhina. The stench is called the bіchni, and the third side is the basis. Rivnі straight utvoryuyut kut peaks. The peculiarity in the equal-femoral knitwear is the presence of one axis of symmetry. Vіs - a vertical line that comes out of the summit kut and ends in the middle of the base. For his sutti, all symmetry includes the following understanding:

  • bisector of the vertex apex;
  • median to base;
  • height of trikutnik;
  • middle perpendicular.

In order to determine the perimeter of the equal-femoral type of tricot figure, use the formula.

In this case, you need to know only two quantities: the basis and the back of one side. The designation "2a" can be multiplied by 2 on the other side. Before the omitted figure, it is necessary to add the value of the base - "b".

In a vignette type, if the base of the rіvnofemoral tricoutnik is more straight, you can speed it up more in a simple way. Vin appears in such a formula:

To get the result, it is enough to multiply the number by three. Tsya formula vikoristovuetsya in order to know the perimeter of the correct trikutnik.

Corisne video: task on the perimeter of the truegon

Trikutnik upright

The head view of a straight-cut tricot with other geometric shapes of the category category is the opening of the head 90 °. For the sign, the type of figure is assigned. First of all, how to know the perimeter of a rectangular tricot, remember that the given value for a flat geometric figure is to become the sum of all sides. So, in any case, the simplest way to recognize the result is to sum up three values.

In scientific terminology, those sides that lie up to a direct kut, may be called “kateti”, and the opposite to the kuta 90º is a hypotenuse. The peculiarities of this post were carried over by the ancient Greek great Pythagoras. Similar to the theory of Pythagoras, the square of the hypotension is equal to the sum of the squares of the catheters.

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On the basis of the theorem, one more formula is introduced, which explains how to know the perimeter of a tricot from two sides. It is possible to loosen the perimeter when appointing a catheter, using an additional offensive method.

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To determine the perimeter, providing information about the size of one leg and hypotenuse, it is necessary to determine the length of the other hypotenuse. For this reason, I use the following formulas:

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Also, the perimeter of the figure described by the type is indicated without data on the expansion of the catheters.

You need a double hypotenuse, and also a cut that lies before it. Knowing the length of one of the catheters, which is how it is cut, which is attached to the new one, the perimeter of the figure is covered by the formula:

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Vmist:

The perimeter is a central dozhina between the two-world form. If you want to know the perimeter of the tricutnik, you are obliged to fold the douzhini of all sides; if you don’t know what you want, if you want one side of the tricot, you need to know it. Tsya statya tell you, (a) how to know the perimeter of the tricot from three sides; (b) how to know the perimeter of a rectangular tricot, if there are only two sides; (c) how to know the perimeter of any kind of tricot, if two sides are given between them (the cosine theorem).

Kroki

1 For trioma danimi parties

  1. 1 To find the perimeter, use the formula: P \u003d a + b + c de, b, c - three sides, P - perimeter.
  2. 2 Know the truth of all three sides. In the application: a = 5, b = 5, h = 5.
    • Tse rіvnostoronnіy trikutnik, to that all three sides may have the same dovzhina. Ale vyshchezgadana formula zastosovuєtsya to be-what trikutnik.
  3. 3 Fold a pile of all three sides to know the perimeter. For example: 5 + 5 + 5 = 15, so P = 15.
    • Second butt: a = 4, b = 3, c = 5. R = 3 + 4 + 5 = 12.
  4. 4 Do not forget to say the same number in the world. In our butt, the sides are measured in centimeters, so your remaining reason is also to blame for including centimeters (otherwise, only one number, designated in the mind of the task).
    • At the butt, the skin side is more than 5 div, so the rest is proof: P = 15 div.

2 Behind the two sides of a straight-cut tricout

  1. 1 Guess the Pythagorean theorem. This theorem describes the correlation between the sides of a rectangular tricot and is one of the most famous and stable theorems of mathematics. The theorem is to say that a straight-cut tricoutnik has a side that is tied to advancing spivs: a 2 + b 2 \u003d c 2 de a, b - catheti, h - hypotenuse.
  2. 2 Paint the tricot and designate the sides like a, b, c. The founding side of a rectangular tricot is the hypotenuse. Vaughn lies opposite the direct kuta. Designate the hypotenuse as "s". Kateti (sides that lie down to a straight kut) are designated as “a” and “b”.
  3. 3 Substitute the values ​​of the two sides of the Pythagorean theorem (a 2 + b 2 = c 2). Instead of letters, provide figures, data for the mind of the head.
    • For example, a \u003d 3 і b \u003d 4. Substitute qi values ​​before the Pythagorean theorem: 3 2 + 4 2 \u003d c 2.
    • Second butt: a \u003d 6 and c \u003d 10. Todi: 6 2 + b 2 \u003d 10 2
  4. 4 To untie otrimane rivnyannya, to know the unknown side. For which back, add the square on the back of the sides (just multiply the number by itself). As you judge the hypotenuse, fold the squares of the two sides and take the square root out of the sum taken. As you see the leg, see the square of the visible leg from the square of the hypotension and from the taken private take the square root.
    • For the first butt: 3 2 + 42 = c 2; 9 + 16 = c2; 25 = c2; √25 = s. Also, c = 25.
    • In another application: 6 2 + b 2 \u003d 102; 36 + b 2 \u003d 100. Transfer 36 to the right side of the line and take away: b 2 \u003d 64; b = √64. Also, b = 8.
  5. 5
    • For the first butt: P = 3 + 4 + 5 = 12.
    • In another case: P = 6 + 8 + 10 = 24.

3 On two given sides and roses between them

  1. 1 If you can know the side of the tricoutnik behind the theorem of cosinuses, then you are given two sides like that between them. Tsya theorem zastosovitsya to be-such tricks and є already a cory formula. Cosinus theorem: c 2 \u003d a 2 + b 2 - 2abcos (C), where a, b, c are the sides of the tricot, A, B, C are the cuts that lie along the opposite sides of the tricot.
  2. 2 Paint the tricot and designate the sides like a, b, c; designate the opposite sides of the kuti yak A, B, C (so kut, scho to prolong the sides "a", designate yak "A" and so on).
    • For example, given a tricot with sides 10 and 12 and a cut between them 97 °, so a = 10, b = 12, C = 97 °.
  3. 3 Submit the formula given to you and find the unknown side "c". Back to back at the square dozhini vіdomih storіnі storіt otrimani znachenya. Let's find out the cosine of kuta C (for the help of a calculator or an online calculator). Multiply the sum of the two sides by the cosine of this kut and by 2 (2abcos(C)). Take the values ​​from the sum of the squares of the two sides (a 2 + b 2), and you take c 2. From the values ​​\u200b\u200bto take the square root, in order to know the value of the unknown side "s". Our example has:
    • c 2 \u003d 10 2 + 12 2 - 2 × 10 × 12 × cos (97)
    • c 2 \u003d 100 + 144 - (240 × -0.12187)
    • c 2 \u003d 244 - (-29.25)
    • h 2 \u003d 244 + 29.25
    • h 2 \u003d 273.25
    • c = 16.53
  4. 4 Fold a pile of three sides to know the perimeter. We guess that the perimeter is calculated using the following formula: P = a + b + c.
    • For application: P = 10 + 12 + 16.53 = 38.53.