What is the formula for a triangle and what are the formulas for a triangle?

What is the formula for calculating the area of a triangle.

There are two formulas for all the triangles: The triangle perimeter formula: The circumference of a triangle is the sum of the three sides. Triangle Area Formula: The area of a triangle is the base times the height divided by two.

Since the two sides of a right-angled triangle are perpendicular to each other, one right-angled side is the height of the triangle relative to the other, and the other side is the base edge. Therefore, even if the length and height of the base edge are not explicitly given, if the length of the two right-angled sides is known, it is equivalent to knowing the length and height of the base edge. Next, you can use the formula to calculate the triangle area.

How to calculate the area of a triangle.

Calculate using base and height: Find the length of the base and height of the triangle. The "bottom" of a triangle is one of its sides, usually the side at the bottom.

"High" refers to the length from the base edge to the highest point at the top of the triangle. When you make a perpendicular line from the base edge of the triangle to the opposite vertex, the line segment is the height of the triangle. This information should be known, or it can be measured.

The area formula is: s=ah 2, where a is the length of the base edge of the triangle and h is the height of the triangle.

Bring the bottom edge length and height into the formula. Multiply the two values and multiply the resulting result by 1 2 to get the value of the area of the triangle in squares.

Method 1 by Angular Division:

1. Acute triangle: The three inner angles of the triangle are less than 90 degrees.

2. Right triangle: one of the three inner angles of the triangle is equal to 90 degrees, which can be recorded as RT.

3. Obtuse triangle: One of the three inner angles of the triangle is greater than 90 degrees.

Judgment method 2: 1. Acute triangle: the maximum angle of the three inner angles of the triangle is less than 90 degrees.

2. Right triangle: The maximum angle of the three inner angles of the triangle is equal to 90 degrees.

3. Obtuse triangle: The maximum angle of the three inner angles of the triangle is greater than 90 degrees and less than 180 degrees.

Among them, acute triangles and obtuse triangles are collectively called oblique triangles.

Refer to the above content: Triangle (geometric figure) - encyclopedia.

The formula for a triangle is:

1. The area is high at the bottom 2.

2. S=AH2 (S area, A bottom, H height).

3. The height of the triangle is 2 bottoms (S area, A bottom, H height).

4. The bottom area of the triangle is 2 high (S area, A bottom, H high).

5. The nth number of triangles n(n+1) 2=(n +n) 2. The nth number of squares is n.

Nature of the Triangle:

1. The sum of the internal angles of the triangle on a plane is equal to 180° (the sum of internal angles theorem).

2. The sum of the outer angles of the triangle on the plane is equal to 360° (the sum of the outer angles theorem).

3. On the plane, the outer angles of the triangle are equal to the sum of the two inner angles that are not adjacent to it.

4. At least two of the three inner angles of a triangle are acute.

5. At least one angle in the triangle is greater than or equal to 60 degrees, and at least one angle is less than or equal to 60 degrees.

6. The sum of any two sides of the triangle is greater than the third side, and the difference between any two sides is less than the third side.

7. In a right-angled triangle, if an angle is equal to 30 degrees, the right-angled side opposite by the 30-degree angle is half of the hypotenuse.

8. The sum of the squares of the two right-angled sides of a right-angled triangle is equal to the square of the hypotenuse (Pythagorean theorem).

9. The middle line of the hypotenuse of a right triangle is equal to half of the hypotenuse.

10. The three angular bisector lines of the triangle intersect at one point, the straight lines where the three high lines are located intersect at one point, and the three middle lines intersect at one point.

There are several formulas for parallelograms.

There are two of all the formulas for a triangle in elementary school:Triangle Perimeter Formula: The circumference of a triangle is the sum of the three sides.

Triangle Area Formula: The area of a triangle is the base times the height divided by two.

Other formulas for elementary school mathematics.

1) Square: C circumference, S area, A side length; Circumference side length 4 , c=4a ; Area = Side Length Side Length, S = a a.

2) Cube: Volume = Edge Length Ridge Length Ridge Length, Surface Area = Edge Length Ridge Length 6.

Trigonometric knowledgeTrigonometric functions consist of two parts: trigonometry and trigonometric functions, and solving trigonometric analysis. Key knowledge points include:

trigonometric functions of arbitrary angles; basic relations of coangular trigonometric functions; induction formula; images of trigonometric functions and their transformations; the properties of trigonometric functions and their applications; evaluation and simplification of trigonometric functions; sine and cosine theorem; Solve triangles and their synthetics.

Trigonometry and trigonometric functions include arbitrary angles and their trigonometric functions, coangular relations and induction formulas, sine and sinusoidal functions, courisal and tangent functions, trigonometric identity transformations, and trigonometric synthesis. It focuses on basic knowledge and basic skills, highlighting the connection between angles and algebra, geometry, vectors and other knowledge points, and the difficulty of the question type is easy or medium.

The base of the area is multiplied by the height divided by two.

The formula for calculating the height of the triangle is: s=1 2 base height, with a for the base, h for the high, h=2s a.

The triangle area formula refers to the area of the triangle calculated by the formula, and the closed figure composed of three line segments in the same plane and not in the same straight line is called a triangle, and the symbol is .

Common triangles are divided into isosceles triangles (isosceles triangles with unequal waists and bases, isosceles triangles with equal waists and bottoms, i.e., equilateral triangles), and unequal triangles; According to the angle, there are right triangles, acute triangles, obtuse triangles, etc., of which acute triangles and obtuse triangles are collectively referred to as oblique triangles.

Area base height 2. S = AH2 (S area, A bottom, abrasive H height).

The height of the triangular slip source is 2 bottom (the area of the signal s, the bottom of A, the height of H).