By EasyHow

How to find the height of a trapezoid formula

Trapezoid is a quadrilateral whose two sides are parallel to each other. Trapezoid is a convex polygon. The height of the trapezoid to calculate easily enough.

How to find the height of a trapezoid formula
How to find the perimeter of a rectangular trapezoid
How to find the area of an axial section of the cone
How to find the side of a rectangular trapezoid

You will need

To know the area of a trapezoid, the lengths of the bases and also the length of the middle line.

Instruction

In order to calculate the area of a trapezoid, you must use the following formula:

S = ((a+b)*h)/2, where a and b are the bases of the trapezoid, h is the height of the trapezoid.

In that case, if the area and lengths of bases are known, find the elevation by the formula:

h = (2*S)/(a+b)

If the trapeze is known for its size and length of the middle line, then find its height will not be difficult:

S = m*h where m is the middle line here:

h = S/m.

In order to make both more understandable, you can give a couple of examples.

Example 1: length of the midline of the trapezoid is 10 cm, its area is 100 cm2. To find the height of the trapezoid is necessary to perform the action:

h = 100/10 = 10 cm

Answer: the height of this trapezoid is 10 cm

Example 2: the area of the trapezoid is 100 cm2, the length of the bases equal to 8 cm and 12 cm find the height of the trapezoid need to run the action:

h = (2*100)/(8+12) = 200/20 = 10 cm

Answer: the height of this trapezoid is 20 cm

Note

There are several types of trapezoids:
An isosceles trapezoid is such a trapezoid in which the sides are equal.
Rectangular trapezoid is trapezoid, which has one internal angle equal to 90 degrees.
It should be noted that in a rectangular trapezoid height is equal to the length of a side at a right angle.
Around the trapezoid can be circumscribed by a circle, or enter her in this shape. To enter a circle only if the sum of its bases is equal to the sum of the opposite sides. To describe the circumference is possible only around an isosceles trapezoid.

Useful advice

A parallelogram is a special case of a trapezoid, because the definition of a trapezoid does not contradict the definition of a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel to each other. The trapezoid as in the definition it is only a couple of his parties. So every parallelogram is a trapezoid. The opposite is not true.