Trapezoids+P2

**__John Hazen and Philipp Czampiel__** 
 * __Trapazoids and isosceles Trapazoids __**


 * __Properties__: **


 * The trapezoid is a quadrilateral with one pair of parallel sides. **



The height of the trapezoid is the perpendicular distance between the bases, here symbolized by h.
 * The parallel sides of a trapezoid are called the bases, here symbolized by b1 and b2 **

Here is a video with all the Trapezoids properties:

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The area of the trapezoid is equal to the average of the bases times the height. So, you add the two bases, divide by 2, and then multiply by the height. This would be:

area = ((b1+b2) / 2) h

It is easy when you know what the Area-Formula for a parallelogram is (base x height). So you can imagine to dublicate the trapezoid and ad the spund trapezoid on the first Trapezoids end. Like this: 

Now it it is a Parallelogram, and you just divide it's area by a half.

Here a video with a good explanation: <span style="color: black; font-family: 'Helvetica','sans-serif'; font-size: 19px;">[]

<span style="color: black; font-family: 'Helvetica','sans-serif'; font-size: 19px;">The perimeter is easy to figure out, by adding all sides together. <span style="color: black; font-family: 'Helvetica','sans-serif'; font-size: 19px;">Ex. : a+b+c+B Here are b&B the two parallel bases.

<span style="color: black; font-family: 'Helvetica','sans-serif'; font-size: 19px;">


 * //<span style="color: black; font-family: 'Helvetica','sans-serif'; font-size: 19px;">If the two sides which are not parallel have equal lengths, then the trapezoid is called an isosceles trapezoid. //**<span style="color: black; font-family: 'Helvetica','sans-serif'; font-size: 19px;"> The base angles and the diagonals in an isosceles trapezoid are equal in measurement.


 * <span style="color: black; font-family: 'Helvetica','sans-serif'; font-size: 19px;">They can also consist right angles. **


 * <span style="color: black; font-family: 'Helvetica','sans-serif'; font-size: 19px;">Midsegment of a Trapezoid **

<span style="font-family: 'Arial','sans-serif'; font-size: 19px;">The median line is always parallel to the bases.

<span style="font-family: 'Arial','sans-serif'; font-size: 19px;">The length of the median is the average length of the bases, or using the formula:

Here a video with a good explanation: []




 * // Problems: //**

<span style="color: #e36c0a; font-family: 'Calibri','sans-serif'; font-size: 19px;"> Solution:
 * __<span style="color: #e36c0a; font-family: 'Calibri','sans-serif'; font-size: 19px;">What is the value of j in the isoscles trapezoid below? __**

__<span style="color: #e36c0a; font-family: 'Verdana','sans-serif'; font-size: 19px;">Determine angle ZWX: __



Help for this problem: Solution:

__ Find a,x, and y. __

<span style="color: black; font-family: 'Arial','sans-serif'; font-size: 16px;">Solution:

__<span style="color: #e36c0a; font-family: 'Arial','sans-serif'; font-size: 21px;">Find the area of the trapezoid ABCD given the length of its 4 sides. __ <span style="color: #e36c0a; font-family: 'Arial','sans-serif'; font-size: 21px;">

<span style="color: black; font-family: 'Arial','sans-serif'; font-size: 16px;">Solution:

<span style="color: #e36c0a; font-family: 'Arial','sans-serif'; font-size: 21px;">

Extra:

Video explaining the area of a trapezoid



Main sources: [] [] []