This geometric shape is rectangular.trapezoid - has not only a great mathematical, but also physical distribution. After all, everything that is given in the school curriculum has a related application. So, for example, knowing what the area of a rectangular trapezium is equal to, you can easily find the path of the body with a uniformly accelerated motion. How to do it? Now consider.
The area of a certain type of figure is calculateddifferently. In our case, you need to know the sum of the two bases and the height. The last is one of the sides, lying at a right angle. Total, the desired result is calculated as follows:
S = (a + b) * h / 2
Of course, this relationship is not taken from the ceiling.It is possible that someone knows about the middle line, which contains both a regular and rectangular trapezium. If it is denoted by the letter m, then the value can be found as follows: m = (a + b) / 2. Mentally move this line down. It turns out something like the length of a known rectangle. It is on the reduction to this simplest figure that the first correlation is built. In general, the formula for a square of a rectangular trapezium suggests the possibility of replacing h (height) by the side length at an angle of 90 degrees. Some should immediately understand that this is justified by the equality between these quantities.
In the beginning, we already mentioned the possibilityapplying figure values in physics. In particular, schoolchildren should be well aware of the principle of uniformly accelerated motion. A rectangular trapezoid is the case when the initial velocity is zero, the acceleration is constant. If the task requires to calculate the path traveled in this situation, then you can use the formula for finding the area. Let the variable "a" denote the entire time of the path. Immediately it should be said that we work in the Cartesian coordinate system. Then "b" will denote the time during which there was a maximum speed. Accordingly, if until the end of the movement it remained equally accelerated, then b = 0. For h, we take the value of steady-state speed. After the substitution of values, you will get a path, since it can be calculated using the formula S = V average * t. Now you know how a rectangular trapezoid can help you.
To solve problems you should know only a littleformulas for the considered figure. For example, the sum of the angles at the inclined side is 180 degrees. The diagonal on one side is the hypotenuse of a right-angled triangle with known legs. Remember that not in any quadrilateral, especially in a rectangular trapezoid, you can inscribe a circle. There are many definitions in the school course, but it is necessary to catch the main ones from them. For example, the fact that a rectangular trapezoid has all the properties of ordinary, but also has some additional features. Suppose that the base is four, the side is three, and the diagonal connecting them is 5. According to the Pythagorean theorem, 3 * 3 + 4 * 4 = 5 * 5. It follows from this that we have a rectangular trapezoid.
Thus, you have got acquainted with one more geometrical figure. The formula for finding its area is not necessary to learn, it is enough to understand the principle of calculation.
