The smaller basis of a trapeze is one of its parallel parties having the minimum length. It is possible to calculate this size in several ways, using any given data.
It is required to you
- - calculator.
Instruction
1. If two lengths - the big basis of a trapeze and the average line are known - use property of a trapeze for calculation of the smallest basis. According to it, the average line of a trapeze is identical to the half-sum of the bases. In this case the smallest basis will be equal to the difference of the doubled length of the average line and length of the big basis of this figure.
2. If such parameters of a trapeze as the area, height, length of the big basis, then calculation of the smallest basis of this figure are known conduct on the basis of a formula of the area of a trapeze. In this case receive the end result by subtraction from a difference private the doubled area and height of such parameter as length of the big basis of a trapeze.
3. Calculate length of the smallest side in a rectangular trapeze by other technique. This parameter will be equal to the work of length of the second side and a sine of an acute angle, adjacent to it. In the same cases when the size of a corner is unknown, equate the smallest side to height of a trapeze and calculate on Pythagorean theorem. You find the smallest side in a rectangular trapeze by means of the theorem of cosines: with²=a²+b²-2ab*cosα; where and, b, with represent the parties of a triangle; α also b is a corner between the parties and.