|
|
| Line 1: |
Line 1: |
| <noinclude><div style="float:left; width:60%;">
| | Claude is her title and she totally digs that name. What she loves performing is to play croquet but she hasn't produced a dime with it. Delaware has always been my living place and will by no means transfer. She is currently a cashier but quickly she'll be on her personal.<br><br>Feel free to visit my page - [http://www.Myccos.com/UserProfile/tabid/61/userId/430/Default.aspx www.Myccos.com] |
| <span style="float:left;">'''[[Portal:Mathematics/Featured article/2007_24|< Previous]]'''</span>
| |
| <span style="float:right;">'''[[Portal:Mathematics/Featured article/2007_26|Next >]]'''</span>
| |
| <br />
| |
| {{Portal:Mathematics/box-header|''Article of the week''|{{FULLPAGENAME}}}}
| |
| </noinclude>
| |
| {| style="float: right; margin-left: 1em; background-color: transparent; "
| |
| |-
| |
| | [[Image:Pythagorean proof (1).svg|center|200px]]
| |
| |-
| |
| | width=200 style="font-size: 85%; text-align: center; " | A mathematical picture paints a thousand words: the Pythagorean theorem made obvious.
| |
| |}
| |
| | |
| The '''Pythagorean theorem''' or '''Pythagoras' theorem''' is a relation in [[Euclidean geometry]] among the three sides of a [[triangle#Types of triangle|right triangle]]. The theorem is named after the [[Greeks|Greek]] [[mathematician]] [[Pythagoras]], who by tradition is credited with its discovery, although knowledge of the theorem almost certainly pre-dates him (in China, for example). The theorem is as follows:
| |
| <blockquote>''In any right triangle, the area of the [[square (geometry)|square]] whose side is the [[hypotenuse]] (the side of a right triangle opposite the right angle) is equal to the sum of areas of the squares whose sides are the two legs (i.e. the two sides other than the hypotenuse).''</blockquote>
| |
| If we let ''c'' be the [[length]] of the hypotenuse and ''a'' and ''b'' be the lengths of the other two sides, the theorem can be expressed as the equation
| |
| : <math>a^2 + b^2 = c^2\, </math>
| |
| | |
| or, solved for ''c'':
| |
| : <math>\sqrt{a^2 + b^2} = c. \,</math>
| |
| | |
| This equation provides a simple relation among the three sides of a right triangle so that if the lengths of any two sides are known, the length of the third side can be found. A generalization of this theorem is the [[law of cosines]], which allows the computation of the length of the third side of any triangle, given the lengths of two sides and the size of the angles between them. If the angle between the sides is a right angle it reduces to the Pythagorean theorem.
| |
| | |
| {| width="100%" border="0" style="padding: 0; margin:0; background:transparent;"
| |
| |align=left|'''[[Portal:Mathematics/Featured article archive|...Archive]]'''
| |
| |align=center| <small>Image credit: [[User:Booyabazooka]] </small>
| |
| |align=right|'''[[Pythagorean theorem|Read more...]]'''
| |
| |}
| |
| <noinclude>{{Portal:Mathematics/box-footer-empty}}</noinclude>
| |
Claude is her title and she totally digs that name. What she loves performing is to play croquet but she hasn't produced a dime with it. Delaware has always been my living place and will by no means transfer. She is currently a cashier but quickly she'll be on her personal.
Feel free to visit my page - www.Myccos.com