Difference between revisions of "Excircle"

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An '''excircle''' is a circle formed by extending two of the sides and drawing a circle tangent to both of them and the non extended side.
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An '''excircle''' is a [[circle]] [[tangent (geometry)|tangent]] to the extensions of two sides of a [[triangle]] and the third side.
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{{image}}
  
 
== Properties ==
 
== Properties ==
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==Related Formulas==
 
==Related Formulas==
  
==See Also==
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==Problems==
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===Introductory===
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===Intermediate===
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===Olympiad===
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*[[1997 USAMO Problems/Problem 2]]
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==See also==
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*[[Incircle]]
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[[Category:Definition]]
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[[Category:Geometry]]

Revision as of 15:00, 2 November 2007

An excircle is a circle tangent to the extensions of two sides of a triangle and the third side.


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Properties

For any triangle, there are three unique excircles.

Related Formulas

Problems

Introductory

Intermediate

Olympiad

See also