What is the area of ​​a triangle. How to find the area of ​​a triangle

Juicy fragrant ribs (often pork) are loved by many for their rich taste and delicate texture of meat. It is easy to cook them if you know special secrets: then the meat dish will be a decoration of a festive or everyday table, will delight everyone who is already tired of cutlets and chops.

How to cook pork ribs in the oven

To make cooking pork ribs in the oven easy, you need to pay attention to the choice of the product itself. Fresh rib plates after processing should not become hard: choose those that are pink in color, covered with a thin film, without spots. Fresh meat does not have mucus. It is better to choose ribs in the market, where you can immediately appreciate the appearance of the product, its smell and texture.

If you bought frozen food, then leave it in the refrigerator or in a bowl of cold water, otherwise the meat may become rubbery and tough. After that, it remains to marinate the rib plates with any marinade to taste, leave for a period of one hour to a day and bake using a baking sheet, sleeve, pots or foil.

How long to bake pork ribs in the oven

Novice cooks may wonder how long to cook pork ribs in the oven so that they bake evenly and retain juices. The time depends on the method of baking: On a baking sheet, the meat is cooked for about half an hour at a temperature of 180 degrees, in foil or a sleeve - 35 minutes at 200 degrees, with a side dish of vegetables or potatoes in a pot - about an hour.

Recipe for pork ribs in the oven

The Internet can help the hostess find suitable recipes with pork ribs, where there are various options with step-by-step instructions, photo and video tutorials. It is easy to learn how to cook from them, combining meat with potatoes, tomatoes, and other vegetables. There is room for imagination in the choice of marinades - beer, honey with mustard or lemon juice with tomatoes are suitable. The taste will also depend on whether you use a sleeve, foil or an ordinary baking dish.

With potato

Each culinary specialist will need information on how to cook pork ribs with potatoes in the oven, because this is a traditional hearty dish for the festive table. Preparing together, potatoes with meat are saturated with aromas of spices and become fragrant. It is nice to serve them hot to enjoy the taste and not miss a drop of juice (as in the photo).

Ingredients:

  • ribs - 1.3 kg;
  • marjoram - 40 g;
  • rosemary - 20 g;
  • garlic - 3 cloves;
  • water - 2/3 cup;
  • potatoes - 1 kg;
  • mustard - 40 g;
  • a mixture of dried garlic, dill, paprika, basil, chili, thyme, nutmeg - a pinch.

Cooking method:

  1. Rinse the meat, salt, pepper, sprinkle with marjoram, rosemary, rub crushed garlic. Cover with foil, marinate for an hour.
  2. Cut the potatoes into rings, mix with a mixture of spices, salt.
  3. Put the potatoes on the bottom of the baking dish, then the meat.
  4. Add mustard and half a glass of water.
  5. Cover with foil, bake at 190 degrees for 80 minutes. Then leave without foil for another ten minutes to brown the dish.

Up your sleeve

The recipe for pork ribs in the oven in the sleeve will be especially juicy if you choose the right additional components. Using a sleeve retains all the juices and flavors inside the meat, giving it a special juiciness. The dish looks delicious in the photo and in life, it turns out very soft. Even older people can chew it.

Ingredients:

  • ribs - 1 kg;
  • onions - 2 pcs.;
  • garlic - 6 cloves;
  • ginger root - 10 g;
  • soy sauce - 120 ml;
  • ketchup - 40 ml;
  • lemon - ½ pc.;
  • honey - 40 ml;
  • provencal herbs - a pinch;
  • cloves - 3 pcs.

Cooking method:

  1. Make a marinade: crush garlic, grate ginger, mix with spices, soy sauce, honey, ketchup.
  2. Coat the ribs, add onion rings, lemon juice.
  3. Marinate under the film on the shelf of the refrigerator for 2-3 hours.
  4. Fold in a baking bag, tie, make 2-3 punctures to release steam.
  5. Bake at 200 degrees for 35 minutes. Open the package, cook for another 15 minutes to brown.

B-B-Q

Often gourmets are forced to wonder how to marinate barbecue pork ribs. This classic sauce is used to give the pork a refined noble taste, to emphasize the piquancy and tenderness of the meat. Barbecue contains many ingredients that work best when grilled or grilled in the oven.

Ingredients:

  • onion - 0.3 kg;
  • garlic - head;
  • smoked paprika - 100 g;
  • zira - 60 g;
  • hot pepper - 50 g;
  • honey - 80 ml;
  • sugar - 60 g;
  • salt - 80 g;
  • tomato paste - a glass;
  • Worcestershire sauce - 40 ml;
  • balsamic vinegar - 20 ml;
  • tabasco sauce - 20 ml;
  • Dijon mustard - 100 g;
  • ribs - 1.5 kg.

Cooking method:

  1. Mix paprika, zira, hot pepper, salt, sugar. Crush the garlic, chop the onion. Grate the ribs with spices, grease with mustard, lay half the onion with garlic. Marinate for 2 hours.
  2. Fry the remaining half of the onion-garlic mixture, add the rest of the spices, honey, pasta, sauces, vinegar. Simmer the barbecue on low heat for 10 minutes.
  3. Bake ribs wrapped in foil for 3 hours at 179 degrees.
  4. Then unfold the envelope. Drain the juice into the barbecue. Bring sauce to a boil. Coat the meat.
  5. Caramelize in the oven at 250 degrees for 15 minutes.

Pork ribs baked in the oven

There are many options for how to bake pork. This recipe involves the use of the original marinade, consisting of pineapple juice, olive oil, soy sauce. Added garlic, ginger root and green onions will add spiciness to the meat. This dish is reminiscent of the masterpieces of Asian cuisine.

Ingredients:

  • ribs - 1 kg;
  • pineapple juice - 250 ml;
  • olive oil - 15 ml;
  • garlic - 4 cloves;
  • soy sauce - 20 ml;
  • ground ginger - 5 g;
  • 9% vinegar - 10 ml;
  • sugar - 30 g;
  • green onions - 2 feathers.

Cooking method:

  1. Mix juice, ginger powder, crushed garlic, oil, vinegar, sauce.
  2. Marinate the ribs for 3 hours on a shelf in the refrigerator, put on a baking sheet.
  3. Bake at 210 degrees for 45 minutes, periodically pouring marinade for juiciness.

With honey and mustard

Pork ribs with mustard in the oven are surprisingly tender and tasty, for which a simple but aromatic marinade is used. You can diversify it by replacing salt with soy sauce to make a dish with a subtle oriental flavor. Even a novice cook can do it if he follows the recipe without deviations.

Ingredients:

  • ribs - 1 kg;
  • mustard - 40 g;
  • honey - 20 ml.

Cooking method:

  1. Cut the ribs in portions, coat with a mixture of mustard, honey, salt. Sprinkle with pepper, marinate on a refrigerator shelf for 3 hours.
  2. Put on the bottom of the baking dish, cover with foil, bake at 180 degrees for 40 minutes. Open, cook for another 20 minutes at 200 degrees.

With honey

Experienced chefs know how to cook with honey in the oven. The use of sweet honey marinade gives the meat an appetizing crispy crust (honey caramelizes under the influence of high temperature) and an unusual savory aftertaste. If you don't mind meat in a sweet sauce, be sure to try this recipe: it will be delicious!

Ingredients:

  • ribs - 0.6 kg;
  • honey - 50 ml;
  • lemon - a quarter of the fruit;
  • soy sauce - 50 ml.

Cooking method:

  1. Melt honey in a water bath until liquid, mix with soy sauce, lemon juice, salt and pepper.
  2. Marinate meat for 20 minutes, put on a wire rack.
  3. Fry at 200 degrees for half an hour. Serve with fried .

With vegetables

A spectacular second dish will be ribs baked in the oven with vegetables. Thanks to joint cooking in a sleeve or foil, the meat is tender, and the vegetables are juicy and fragrant. Particular attention is paid to the marinade, for which pomegranate-based narsharab sauce is used in this recipe (you can replace it with just pomegranate juice or even a mixture of tomato and lemon).

Ingredients:

  • ribs - half a kilo;
  • potatoes - 1 kg;
  • eggplant - 250 g;
  • tomatoes - 250 g;
  • onion - 150 g;
  • narsharab sauce - 50 ml;
  • provencal herbs - 20 g;
  • garlic - 3 cloves;
  • vegetable oil - half a glass.

Cooking method:

  1. Pour the meat with sauce, salt, pepper, leave for 15 minutes.
  2. Cut the potatoes into cubes, sprinkle with Provence herbs.
  3. Cut the onion into half rings, slice the tomatoes, dice the eggplant, push the garlic through a press.
  4. Put the vegetables with meat on the bottom of the baking dish, pour over with oil, sprinkle with garlic.
  5. Bake at 180 degrees for 1.5 hours.

in foil

Another juicy dish will be pork ribs in foil. Cooked in an airtight envelope, they will retain their juiciness and softness, and will be saturated with the aromas of spices. An ideal combination for pork would be bay leaf, a mixture of peppers and rosemary. The spicy sharpness of the meat will be ideally combined with fresh vegetables, herbs or cereals (for example, buckwheat or barley).

Ingredients:

  • ribs - 0.6 kg;
  • vegetable oil - 30 ml;
  • bay leaf - 2 pcs.;
  • a mixture of peppers - 17 peas;
  • rosemary - 2 g.

Cooking method:

  1. Mix rib plates with spices, oil, salt, grate.
  2. Wrap in foil, bake at 210 degrees for 25 minutes.
  3. Reduce the temperature to 160 degrees, cook for another hour.
  4. Cut the foil, cook for 20 minutes at 185 degrees.

in soy sauce

A simple recipe is pork ribs in soy sauce, the taste of which is pleasantly spicy, piquant due to the addition of white wine vinegar, ginger, garlic and star anise. A hearty lunch will be ready in an hour and a half, and tender meat with hints of sweetness and a golden crust will delight all family members.

Ingredients:

  • ribs - 2 kg;
  • soy sauce - a glass;
  • white wine vinegar - 40 ml;
  • fresh ginger - 30 g;
  • garlic - 5 cloves;
  • star anise - 2 stars.

Cooking method:

  1. Pour the ribs with sauce, vinegar, water - until completely covered.
  2. Garlic, crushed with a knife, together with the husk, send to the meat. Pour ginger plates, star anise.
  3. Boil, cook on low heat for 1.5 hours.
  4. Dry with a towel, put on a grill grate, fry for 7 minutes until golden brown.

in beer

A pleasant snack for a foamy drink will be ribs in beer in the oven. This wonderful dish, characterized by a rich taste and delicate soft texture, will appeal to many guests, especially men. They can be served hot or chilled, with a side dish of fresh vegetables or solo. This delicious appetizer is irresistible!

Ingredients:

  • ribs - 1 kg;
  • dark beer - a glass;
  • onion - 2 pcs.

Cooking method:

  1. Peel the pieces of meat from veins, films, grate with salt, black pepper. Onion cut into half rings.
  2. Put the plates with onions in layers in a marinating dish, pour over beer. Marinate on the shelf of the refrigerator for a day (or at least 5 hours).
  3. Bake on a wire rack at 180 degrees for 20 minutes. Turn, cook another 40 minutes.

Marinade

The taste of the finished dish largely depends on how to cook the marinade for pork ribs in the oven. Here are some proven options:

  • honey, turmeric, orange juice, soy sauce, prunes;
  • onion, mayonnaise, bay leaf, suneli hops;
  • kefir, onion, cilantro, garlic;
  • white wine, soy sauce, ginger, lemon juice, granulated sugar;
  • tomato paste, olive oil, mustard, cumin, paprika, soy sauce, garlic.

Video

The concept of area

The concept of the area of ​​any geometric figure, in particular a triangle, will be associated with such a figure as a square. For a unit area of ​​any geometric figure, we will take the area of ​​a square, the side of which is equal to one. For completeness, we recall two basic properties for the concept of areas of geometric shapes.

Property 1: If geometric shapes are equal, then their areas are also equal.

Property 2: Any figure can be divided into several figures. Moreover, the area of ​​the original figure is equal to the sum of the values ​​​​of the areas of all the figures that make it up.

Consider an example.

Example 1

It is obvious that one of the sides of the triangle is the diagonal of the rectangle , which has one side of length $5$ (since $5$ cells) and the other $6$ (since $6$ cells). Therefore, the area of ​​this triangle will be equal to half of such a rectangle. The area of ​​the rectangle is

Then the area of ​​the triangle is

Answer: $15$.

Next, consider several methods for finding the areas of triangles, namely using the height and base, using the Heron formula and the area of ​​an equilateral triangle.

How to find the area of ​​a triangle using the height and base

Theorem 1

The area of ​​a triangle can be found as half the product of the length of a side times the height drawn to that side.

Mathematically it looks like this

$S=\frac(1)(2)αh$

where $a$ is the length of the side, $h$ is the height drawn to it.

Proof.

Consider triangle $ABC$ where $AC=α$. The height $BH$ is drawn to this side and equals $h$. Let's build it up to the square $AXYC$ as in Figure 2.

The area of ​​rectangle $AXBH$ is $h\cdot AH$, and that of rectangle $HBYC$ is $h\cdot HC$. Then

$S_ABH=\frac(1)(2)h\cdot AH$, $S_CBH=\frac(1)(2)h\cdot HC$

Therefore, the desired area of ​​the triangle, according to property 2, is equal to

$S=S_ABH+S_CBH=\frac(1)(2)h\cdot AH+\frac(1)(2)h\cdot HC=\frac(1)(2)h\cdot (AH+HC)=\ frac(1)(2)αh$

The theorem has been proven.

Example 2

Find the area of ​​the triangle in the figure below, if the cell has an area equal to one

The base of this triangle is $9$ (since $9$ is $9$ cells). The height is also $9$. Then, by Theorem 1, we obtain

$S=\frac(1)(2)\cdot 9\cdot 9=40.5$

Answer: $40.5$.

Heron's formula

Theorem 2

If we are given three sides of a triangle $α$, $β$ and $γ$, then its area can be found as follows

$S=\sqrt(ρ(ρ-α)(ρ-β)(ρ-γ))$

here $ρ$ means the half-perimeter of this triangle.

Proof.

Consider the following figure:

By the Pythagorean theorem, from the triangle $ABH$ we obtain

From the triangle $CBH$, by the Pythagorean theorem, we have

$h^2=α^2-(β-x)^2$

$h^2=α^2-β^2+2βx-x^2$

From these two relations we obtain the equality

$γ^2-x^2=α^2-β^2+2βx-x^2$

$x=\frac(γ^2-α^2+β^2)(2β)$

$h^2=γ^2-(\frac(γ^2-α^2+β^2)(2β))^2$

$h^2=\frac((α^2-(γ-β)^2)((γ+β)^2-α^2))(4β^2)$

$h^2=\frac((α-γ+β)(α+γ-β)(γ+β-α)(γ+β+α))(4β^2)$

Since $ρ=\frac(α+β+γ)(2)$, then $α+β+γ=2ρ$, hence

$h^2=\frac(2ρ(2ρ-2γ)(2ρ-2β)(2ρ-2α))(4β^2)$

$h^2=\frac(4ρ(ρ-α)(ρ-β)(ρ-γ))(β^2 )$

$h=\sqrt(\frac(4ρ(ρ-α)(ρ-β)(ρ-γ))(β^2))$

$h=\frac(2)(β)\sqrt(ρ(ρ-α)(ρ-β)(ρ-γ))$

By Theorem 1, we get

$S=\frac(1)(2) βh=\frac(β)(2)\cdot \frac(2)(β) \sqrt(ρ(ρ-α)(ρ-β)(ρ-γ) )=\sqrt(ρ(ρ-α)(ρ-β)(ρ-γ))$