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Tangent lengths to the incircle and the excircle | plane geometry | intermediate level
10 months ago
46
Health & Science
mathematics
geometry
plane geometry
classical geometry
Euclidean geometry
triangle
incircle
excircle
tangent
tangency point
Episode 64.
Tangent lengths to the incircle and the excircle | plane geometry | intermediate level.
Branch of mathematics: plane geometry.
Difficulty level: intermediate.
Theorem. Let $ABC$ be a triangle. Let $T_A$, $T_B$, $T_C$ be the tangency points of the incircle of the triangle $ABC$ with the sides $BC$, $CA$, $AB$ respectively. Let $T_A'$, $T_B'$, $T_C'$ be the tangency points of the excircle of the trinagle $ABC$ with the extension of the side $BC$, the side $CA$, and the extension of the side $AB$ respectively. Then $AT_B=CT_B'$ and $AT_B'=CT_B$.
Mathematics. Geometry. Plane geometry.
#Mathematics #Geometry #PlaneGeometry
The same video on YouTube:
https://youtu.be/DjL8WmsKhvU
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https://t.me/mathematical_bunker/88
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