Extouch triangle: Difference between revisions

Revision as of 00:33, 17 March 2013

Revision as of 16:10, 17 September 2013

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[[Image:Extouch Triangle and Nagel Point.svg|right|frame|325px|The extouch triangle (red, ΔT_AT_BT_C) and the [[Nagel point]] (blue, N) of a triangle (black, ΔABC). The orange circles are the [[excircles]] of the triangle.]]

TheIn [[geometry]], the '''extouch triangle''' of a [[triangle]] is formed by joining the points at which the three [[excircle]]s touch the triangle. The [[vertex (geometry)|vertices]] of the extouch triangle are given in [[trilinear coordinates]] by:

:<math>T_A = 0 : \csc^2{\left( B/2 \right)} : \csc^2{\left( C/2 \right)}</math>