The trapeze is meant as a quadrangle at which two of four of its parties are parallel among themselves. The parallel parties are the bases of this trapeze, two others are sides of this trapeze. To find trapeze height if its area is known, it will be very easy.
1. It is necessary to understand as it is possible to calculate the area of an initial trapeze. For this purpose there are several formulas, depending on basic data: S = ((a+b) of *h)/2, where an and b - lengths of the bases of a trapeze, and h - its height (Trapeze height - the perpendicular lowered from one basis of a trapeze to another); S = m*h where m - average fading trapezes (Average fading - the piece parallel the bases of a trapeze and connecting the middle of its sides).
2. Now, knowing formulas for calculation of the area of a trapeze, it is possible to bring out of them new, for finding of height of a trapeze: h = (2*S)/(a+b); h = S/m.
3. In order that it was more clear how to solve similar problems, it is possible to review examples: Example 1: The trapeze at which the area is equal to 68 cm² is given, average fading which is equal to 8 cm, it is required to find height of this trapeze. To solve this problem, it is required to use earlier removed formula: h = 68/8 = 8.5 smotvt: height of this trapeze is 8.5 smprimer 2: Let at a trapeze the area equal 120 cm², lengths of the bases of this trapeze are equal 8 cm and 12 cm respectively, it is required to find height of this trapeze. For this purpose it is necessary to apply one of the removed formulas: h = (2*120) / (8+12) = 240/20 = 12 smotvt: height of the set trapeze is equal to 12 cm