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.

## Instruction

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