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Math: Geometry Problem 1024, Art 01: Contact, Gergonne Triangle, Point on an arc of Incircle, Perpendicular, Distances. Level: School, College.

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In the figure below, P is a point on the arc TATC of the incircle of triangle ABC and TATBTC is the contact triangle. If PA1, PB1, and PC1 are perpendicular to BC, AC, and AB, respectively, Prove that: Problem 1024 formula to prove.
 
The contact triangle or intouch triangle or Gergonne triangle of a triangle ABC is defined by the 3 tangency points of the incircle on the 3 sides.
 

Geometry Problem 1024 Art 01: Contact, Gergonne Triangle, Point on an arc of Incircle, Perpendicular, Distances
See also: Art 00



 

 

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Jul 22, 2014