This geometric figure - a rectangular trapezoid - has not only a large mathematical, but also a 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 trapezoid is equal to, you can easily find the path of the body during uniformly accelerated motion. How to do it? Now consider.
The area of a certain type of figure is calculated in different ways. In our case, we need to know the sum of two bases and the height. The last is one of the sides, lying at a right angle. In total, the desired result is calculated as follows:
S=(a+b)h/2
Of course, this dependence is not taken from the ceiling. It is possible that someone knows about the midline, which contains both an ordinary and a rectangular trapezoid. If it is denoted by the letter m, then the value can be found as follows: m=(a+b)/2. Mentally move this segment down. Something like the length of a known rectangle will turn out. It is on the reduction to this simplest figure that the first given dependence is built. In general, the formula for the area of a rectangle istrapezoid suggests the possibility of replacing h (height) with the length of the side at an angle of 90 degrees. Some should immediately understand that this is justified by the equality between these quantities.
At the beginning, we have already mentioned the possibility of using figure values in physics. In particular, students 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 at hand requires calculating the path traveled in such a situation, then you can use the formula to find the area. Let the variable "a" denote the entire journey. It should be said right away that we are working in a 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 uniformly accelerated, then b=0. For h we take the value of the steady speed. After substituting the values, you will get the path, since it can be calculated using the formula S=V averaget. Now you know how a rectangular trapezoid can help you.
To solve problems, you should know only a few formulas for the figure in question. For example, the sum of the angles on an inclined side is 180 degrees. The diagonal with respect to one of the sides is the hypotenuse of a right triangle with known legs. Remember that far from any quadrilateral, especially ina rectangular trapezoid, you can inscribe a circle. Many definitions are given in the school course, but it is necessary to extract the main thing from them. For example, the fact that a rectangular trapezoid has all the properties of a regular one, but also has some additional features. Suppose the base is four, the side is three, and the diagonal connecting them is 5. By the Pythagorean theorem, 33+44=55. From this it follows that we have a rectangular trapezoid.
Thus, you met with another geometric figure. It is not necessary to memorize the formula for finding its area, it is enough to understand the principle of calculation.
