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8. Let ABC be a triangle, and let D, E, and F be the points where the incircle is tangent to sides BC, CA and AB respectively. (a) Prove that the cevians AD, BE and CF are concurrent using Ceva's Theorem.

8. Let ABC be a triangle, and let D, E, and F be the points where the incircle is tangent to sides BC, CA and AB respectively. (a) Prove that the cevians AD, BE and CF are concurrent using Ceva's Theorem.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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8. Let ABC be a triangle, and let D, E, and F be the points where the incircle is tangent to sides BC, CA and AB respectively. (a) Prove that the cevians AD, BE and CF are concurrent using Ceva's Theorem. (b) Demonstrate the concurrency of the cevians by constructing the triangle, its incircle, and the cevians in GeoGebra.
Transcribed Image Text:8. Let ABC be a triangle, and let D, E, and F be the points where the incircle is tangent to sides BC, CA and AB respectively. (a) Prove that the cevians AD, BE and CF are concurrent using Ceva's Theorem. (b) Demonstrate the concurrency of the cevians by constructing the triangle, its incircle, and the cevians in GeoGebra.
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