The area formula of trapezoid is expressed by letters: S=(a+c)×h÷2. The area formula of trapezoid is expressed by letters: s = l H. The area formula of trapezoid: the area of trapezoid with diagonal lines perpendicular to each other is: S = diagonal x diagonal line ÷2.
Knowledge expansion:
Parallelogram is a closed figure composed of two groups of parallel lines on the same two-dimensional plane. Parallelogram is generally named by the graphic name followed by four vertices. Note: When using letters to represent quadrangles, be sure to indicate whether the vertices are clockwise or counterclockwise.
In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the diagonals of the parallelogram are equal.
A trapezoid is a quadrilateral in which two opposite sides are equal in length and the other two sides are parallel. The area formula of trapezoid is a method to calculate the area of trapezoid, and its invention is of great significance to the development of mathematics and geometry.
Before the trapezoid area formula was invented, people could only calculate the trapezoid area through complicated geometric calculation. The invention of trapezoidal area formula makes this calculation simple and easy.
The inventor of trapezoidal area formula has never been able to verify it, but its invention is of great significance to the development of mathematics and geometry. In mathematics, trapezoidal area formula is widely used in various calculations and problem solving.
The invention of trapezoidal area formula is an important milestone in the history of mathematics and geometry development. Its invention enables people to calculate the area of trapezoid quickly and accurately, and makes an important contribution to the development of mathematics and geometry.
The area calculation principle of trapezoid is derived from the area formula of parallelogram.
We all know that the area of parallelogram is bottom× height, while the area of trapezoid is (upper bottom+lower bottom) × height ÷2. First, we define that the area of a parallelogram is equal to the area and height of this trapezoid. In the trapezoid area formula, the upper bottom+lower bottom can be understood as the bottom twice as high as the parallelogram, and the height is the same as that of the parallelogram.