What is the triangle area formula?

Triangle area formula: s=(base x height) 2=(1 2)x base x height.

Any side of the triangle abc can be used as a base; The distance from the vertex to the "bottom" is called the "height" of the triangle.

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.

s 1 2ah (area = base height 2. where a is the base of the triangle and h is the height of the base).

The triangle area formula refers to the calculation of the area of a triangle using an equation.

Common triangles are divided into isosceles triangles by sides.

An isosceles triangle with an unequal waist and a base, and an isosceles triangle with an equal waist and a base, are equilateral triangles.

non-isosceles triangle; There are right triangles divided by angles.

Acute triangles, obtuse triangles, etc., among which acute triangles and obtuse triangles are collectively referred to as oblique triangles.

The area of the triangle: s ah 2 or s ah 1 2

ah can find the area of a parallelogram, which is made up of two triangles, which is 2 or 1 2

The base of a triangle is the height of a triangle h.

The area formula for the triangle.

Formula. Explanation of knowledge points.

The triangle area formula refers to the calculation of the area of a triangle using an equation. The closed shape composed of three line segments in the same plane and no longer in the same straight line are connected end to end is called a triangle.

The area of the triangle = base x height 2 letters indicate: ah 2

Mathematics will be learned in the first volume of the fifth grade.

a=bottom. h=high.

s three = ah 2

Explanation: Two identical can be put together into a parallelogram ( ) can be calculated directly using the area formula of the parallelogram and then 2 (because as mentioned earlier, this parallelogram is composed of two).

s is equal to the base multiplied height divided by two.

Base = triangle area multiplied by 2 divided by height, i.e. a = 2s h.

Triangle area formula: area = base height 2, s = ah 2 (where a is the base of the triangle, h is the height corresponding to the base) Note: The three sides can be the base, which should be understood as: half of the product of the height corresponding to the three sides is the area of the triangle.

A closed shape consisting of three line segments that are not on the same line is connected one after the other, called a triangle. The figure enclosed by three straight lines on the plane or three arcs on the sphere, and the figure enclosed by the three straight lines is called a plane triangle; The shape enclosed by three arcs is called a spherical triangle, also known as a trilateral.

The area of the triangle.

The formula for base height 2 is: s=1 2ah

Where: s represents the area of the triangle, a represents the base of the triangle, and h represents the height on the base.

The area of a triangle is calculated by s=ah 2, i.e., the area of the triangle is equal to the base times the height divided by 2. With the help of the area of the parallelogram, the derivation process is composed of two identical triangles, which are combined into a parallelogram, and the bottom and high key of the parallelogram are consistent with the base and height of the original triangle, so the area of a triangle is half of the area of the parallelogram.

It's a very important formula, so be sure to memorize it.

Area s=1 2 Bottom height.

Units should be unified.

The area formula for the triangle = base height 2

The mathematical formula is s=ah 2

Triangle area formula = base x height 2. Letter formula: s=ah 2.

Analysis] Knowing the base and height of the triangle, find the area of the triangle, multiply the length of the base edge of the triangle by the height, and divide the resulting product by 2.

Two identical triangles can be put together into a parallelogram.

The area of parallelograms of equal base and equal height is equal; Triangles of equal base and height are equal in area.

The area of a parallelogram of equal height is twice the area of a triangle.

If a triangle and a parallelogram are equal in area and equal in base, then the triangle is twice as tall as the parallelogram.

If a triangle and a parallelogram are equal in area and height, the base of the triangle is 2 times that of the parallelogram.

Similar triangle determination:

1. The three sides corresponding to the two triangles are equal, and the two triangles are congruent, referred to as "edge edge edge" or "sss"."。

2. The two sides of the two triangles and their angles are equal, and the two triangles are congruent, referred to as "corner edges" or "SAS".

3. The two corners corresponding to the two triangles and their intersections are equal, and the two triangles are congruent, referred to as "corners" or "ASA".

4. The two corners corresponding to the two triangles and the opposite side of one of the corners are equal, and the two triangles are congruent, referred to as "corner edges" or "AAS".

5. One hypotenuse and one right-angled side corresponding to two right-angled triangles are equal, and the two right-angled triangles are congruent, referred to as "hypotenuse, right-angled side" or "hl".

Triangle area formula: s=(base x height) 2=(1 2)x base x height.

Any side of the triangle abc can be used as a base; The distance from the vertex to the "bottom" is called the "height" of the triangle.

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.

s 1 2ah (area = base height 2. where a is the base of the triangle and h is the height of the base).

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 are connected in order to end is called a triangle.

Let the three sides of the triangle be a, b, and c, and the radius of the circumscribed circle is r.

Then the triangle area = abc 4r.

s=2r²·sina·sinb·sinc。

Right Triangle:

Solving a right triangle requires the use of the Pythagorean theorem, also known as the Pythagorean theorem or Pythagoras theorem. In mathematical formulas, it is often written as a 2+b 2=c 2, where a and b are two right-angled sides of a right-angled triangle respectively, and c is the hypotenuse.

The Pythagorean chord number refers to a set of three positive integers that hold the Pythagorean theorem relation. For example: 3, 4, 5.

Common Pythagorean string numbers are: 3, 4, 5; 6，8，10；5,12,13；10,24,26；Wait a minute.

Among them, the Pythagorean number of mutuin is composed of the basic Pythagorean array, for example: 3, 4, 5;5,12,13；8, 15, 17 and so on.

The area of a triangle is calculated as follows: base of triangle multiplied by height divided by 2.

1. If the bottom of the triangle is known to be a and the height is h, then s=ah 2.

2. If it is known that the two sides of the triangle are a, b, and the angle between the two sides is c, then the area of the triangle is the product of the two sides multiplied by the sinusoidal value of the angle, that is, s=(absinc) 2.

3. Let the three sides of the triangle be a, b, and c, and the radius of the inscribed circle is r, then the area of the triangle is s=(a+b+c)r 2.

4. Let the three sides of the triangle be a, b, and c, and the radius of the circumscribed circle is r, then the area of the triangle is abc 4r.

5. In the right-angled triangle ABC (AB is perpendicular to BC), the area of the triangle is equal to half of the product of the two right-angled sides, i.e., s=ab BC 2.

The nature of the triangle angle.

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. 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.

The unequal triangle area formula is the formula for calculating the area of a triangle as the base multiplied by the height divided by 2。There is a uniform formula for calculating the area of a triangle, if s is used to denote the area of the triangle, d denotes the bottom edge of the triangle, and h denotes the height of the triangle, then the formula for calculating the area of the triangle is s=(dxh) 2.

Formula summaryIn mathematics, a formula refers to a formula that uses mathematical symbols or words to express the relationship between various quantities, which is universal and suitable for all problems of the same kind of relationship. Other applications refer to ways and methods that can be applied to the same kind of things. A general form, expressed in mathematical symbols, a formula for a certain relationship between quantities (such as a law or theorem), which can be universally applied to the ways and means of similar things.

Formulas, formulas that use mathematical symbols to represent the relationship between several quantities in natural sciences such as mathematics, physics, chemistry, and biology. It is universal and suitable for all problems of the same kind of relationship. In mathematical logic, a formula is a formal grammatical object that expresses a proposition, except that the proposition may depend on the value of the free variable of the formula.

The precise definition of a formula depends on the specific formal logic involved. Vertical infiltration.

s 1 2ah (area = base height 2. where a is the base of the triangle, h is the height corresponding to the bottom) Note: All three sides can be the base, which should be understood as:

Half of the high product of the three sides corresponding to the plum jujube is the area of the triangle. This is the basis for finding the length of a line segment using the area method.

A triangle is a closed figure composed of three line segments in the same plane that are not on the same straight line, which are connected sequentially and have applications in mathematics and architecture.

Common triangles are divided into ordinary triangles (the three sides are not equal) and isosceles triangles (isosceles triangles with unequal waists and bases, and isosceles triangles with equal waists and bottoms, that is, equilateral 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.

The area formula for a triangle = base multiplied by height divided by two.

The area formula for a triangle: s=ah 2.

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.

1. Median line theorem.

The median line of the triangle is parallel to the third side and equal to half of the third side.

Corollary: A straight line that passes through the midpoint of one side of the triangle and is parallel to the other side must bisect the third side.

2. The midline theorem.

The sum of the squares of the opposite sides of a midline of a triangle is equal to half of the square of the base edge and twice the sum of the squares of the midline of that side.

3. Trilateral relationship theorem.

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.

4. The Pythagorean theorem.

The Pythagorean theorem states that in any right triangle, the sum of the squares of the two right-angled sides must be equal to the square of the hypotenuse lengths.

Geometric language: If abc satisfies abc=90°, then ab2+bc2=ac2.