Mathguru – Help – To find the depth of the trapezium if area of trapezium and length of its two sides are given.

Solved Example > No. SE 8

To find the depth of the trapezium if area of trapezium and length of its two sides are given.

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Explanation:

Trapezoid

Trapezoid (AmE) Trapezium (BrE)
A Trapezoid
Type	quadrilateral
Edges and vertices	4
Area	$Description: Description: \tfrac{a + b}{2} h$
Properties	convex

In geometry, a quadrilateral with one pair of parallel sides is referred to as a trapezoid in American English and as a trapezium in English outside North America. A trapezoid with vertices ABCD is denoted ABCD or ABCD.

This article uses the term trapezoid in the sense that is current in the United States (and sometimes in some other English-speaking countries).Readers in the United Kingdom and Australia should read trapezium for each use of trapezoid in the following paragraphs. In all other languages using a word derived from the Greek for this figure, the form closest to trapezium (e.g. French 'trapèze', Italian 'trapezio', German 'Trapez', Russian 'трапеция') is used.

Area

The area A of a trapezoid is given by

$Description: Description: A = \frac{a + b}{2} \cdot h$

where a and b are the lengths of the parallel sides, and h is the height (the perpendicular distance between these sides) (Our solved example in mathguru.com uses this concept)

http://en.wikipedia.org/wiki/Trapezoid

The above explanation is copied from Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons Attribution- ShareAlike 3.0 Unported License.