# Distance between Gergonne Point and Fletcher Point

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Given a triangle , draw the incircle with tangent points , and , which form the contact triangle. Let the lines and intersect at , and at , and at . The points , and are collinear and form the perspectrix of the contact triangle, also called the Gergonne line, shown in orange. The lines , and intersect at the Gergonne point .

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Contributed by: Minh Trinh Xuan (August 2022)

Open content licensed under CC BY-NC-SA

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