How to fix Windows computer restarting automatically when pressing the shutdown button
In this article, Quantrimang will guide you through some ways to fix the error of Windows computers automatically restarting when pressing the shutdown button.
What is the formula for calculating the area of a regular, right, and isosceles triangle ? Please refer to the article below to understand the easiest and most commonly used ways to calculate the area of a triangle.
Table of Contents
Triangle ABC has three sides a, b, c, ha is the height from vertex A as shown:
The area of a triangle is equal to the height multiplied by the length of the opposite side (the base) and divided by 2.
Poem on calculating the area of a regular triangle
The area of a triangle is easy.
Multiply the height by the base and divide it in half.
For example:
Calculate the area of a triangle with a base length of 5m and a height of 24dm.
Solution: Height 24dm = 2.4m
The area of the triangle is:
The area of a triangle is equal to half the product of two adjacent sides times the sine of the angle between those two sides in the triangle.
For example:
Triangle ABC has side BC = 7, side AB = 5, angle B equals 60 degrees. Calculate the area of triangle ABC?
Prize:
Using the proven Heron formula:
With p being the semi-perimeter of the triangle:
Can be rewritten using the formula:
For example:
Calculate the area of the triangle with side lengths AB = 8, AC = 7, CB = 9
Prize:
The semi-perimeter of triangle ABC is
Applying the hero formula we have
Other:
Note: It is necessary to prove that R is the radius of the circle circumscribing the triangle.
For example:
Given triangle ABC, the lengths of the sides are a = 6, b = 7, c = 5, R = 3 (R is the radius of the circle circumscribing triangle ABC). Calculate the area of triangle ABC.
Prize:
For example: Calculate the area of triangle ABC knowing the lengths of the sides AB = 20, AC = 21, BC = 15, r = 5 (r is the radius of the circle inscribed in triangle ABC).
Prize:
The semi-perimeter of a triangle is:
r= 5
The area of the triangle is:
Isosceles triangles are like regular triangles, we can apply the formula of multiplying the height by the base, then dividing by 2 as above. In addition, there will be more complex advanced formulas:
Isosceles triangle ABC has three sides, a is the length of the base, b is the length of the two sides, ha is the height from vertex A as shown:
Applying the formula for calculating the area of a regular triangle, we have the formula for calculating the area of an isosceles triangle:
Equilateral triangle ABC has three equal sides, a is the length of the sides as shown:
Applying Heron's theorem to deduce, we have the formula for calculating the area of an equilateral triangle:
Triangle ABC is right-angled at B, a, b are the lengths of the two right-angled sides:
Apply the formula for calculating the area of a right triangle with the height being one of the two right angle sides and the base being the remaining side.
Formula for calculating the area of a right triangle:
Poem on calculating the area of a right triangle:
Triangle with two right angles.
Keep calm, don't panic and make mistakes.
Side, side multiplied, divided by two
is the area, do the exercise quickly
Triangle ABC is a right-angled triangle at A, a is the length of the two sides:
Applying the formula for calculating the area of a right triangle to the area of an isosceles right triangle with equal height and base, we have the formula:
Theoretically, we can use the above formulas to calculate the area of a triangle in space or in Oxyz space. However, this will encounter some difficulties in calculation. Therefore, in Oxyz space, people often calculate the area of a triangle by using the directional product.
In space Oxyz, given triangle ABC. The area of triangle ABC is calculated by the formula:
Example :
In the Oxyz space, given triangle ABC with coordinates of three vertices A(-1;1;2), B(1;2;3), C(3;-2;0). Calculate the area of triangle ABC.
Solution :
We have:
To calculate the area of a triangle, you need to determine what type of triangle it is, from there find the correct area calculation formula and the necessary factors to calculate the area of a triangle as quickly as possible.
Regular triangle: is the most basic triangle, with different side lengths and different interior angle measures. Regular triangles can also include special cases of triangles.
Isosceles triangle: is a triangle with two equal sides, these two sides are called the two lateral sides. The vertex of an isosceles triangle is the intersection point of the two lateral sides. The angle formed by the vertex is called the apex angle, the other two angles are called the base angles. The property of an isosceles triangle is that the two base angles are equal.
Equilateral triangle: is a special case of an isosceles triangle with all three sides equal. The property of an equilateral triangle is that it has three equal angles and is 60 degrees.
Right triangle: is a triangle with one angle equal to 90 (a right angle).
Obtuse triangle: is a triangle with an interior angle greater than 90 (an obtuse angle) or an exterior angle less than 90 (an acute angle).
Acute triangle: is a triangle with three interior angles all less than 90 (three acute angles) or with all exterior angles greater than 90 (six obtuse angles).
Right isosceles triangle: is both a right triangle and an isosceles triangle.
Above is a summary of common triangle area calculation formulas, calculating triangle area in the oxyz coordinate system. If you have any concerns, questions or contributions, please leave a comment below to discuss with Quantrimang.com.
In this article, Quantrimang will guide you through some ways to fix the error of Windows computers automatically restarting when pressing the shutdown button.
To really understand whether a VPN is right for you, there’s no better way than to try it out. Install a few clients, connect to the best servers, test your favorite sites, and see how they perform.
In addition to customizing using phrases to trigger actions like changing Siri's name on iOS 18, you have the option to use sound to trigger actions.
Apple Intelligence promised big things, but after exploring its features, many people felt disappointed.
While AI design tools are fun to use, some can feel like they take away from the seriousness of creative design. However, there are a large number of creative AI tools that are actually worth your time.
Many attractive rewards in Vo Lam Binh Lam Thanh Ha are included in the giftcode that the game publisher gives to new players.
Tower Defense Simulator Code is also a reward that you can get permanently in the game. The support you receive will be XP and Troops. Thanks to the giftcode you can easily go further and faster in the game.
Not everyone knows exactly how many years a decade, century, or millennium is.
There are many statuses about flowers and you on the Internet. Many beautiful and inspirational quotes have been created about flowers over the years. This article will summarize for you the best flower captions.
In late 2024, a comprehensive study published in the British Journal of Ophthalmology confirmed that the rate of myopia in children globally is and will increase significantly.
Why pay for a new battery for an old device when you can upgrade to something new for a little more money? To solve this problem, researchers are developing more environmentally friendly rechargeable lithium batteries.
Some Galaxy S10, Note 10, and M51 users have reported that after installing a new software update from Samsung, their devices encountered serious problems, becoming unusable and forcing them to perform a factory reset to restore functionality.
Is it okay to turn off the air conditioner using the remote control or should I also turn off the circuit breaker to help save electricity? This is the question of many people as summer approaches.
Multi-function control frequency code table of popular air conditioner brands on the market, please refer to it.
Many people wonder if the water that flows out during the use of air conditioning is clean and can be reused? Please find out in the article below.