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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) (b) Prove that the cevians AD, BE and CF are concurrent using Ceva's Theorem. Demonstrate the concurrency of the cevians by constructing the triangle, its incircle, and the cevians in GeoGebra. You should include a screenshot of your GeoGebra construction in your submission, le- aving all construction lines and circles in the diagram. You may use the shortcut constr- uction tools.

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) (b) Prove that the cevians AD, BE and CF are concurrent using Ceva's Theorem. Demonstrate the concurrency of the cevians by constructing the triangle, its incircle, and the cevians in GeoGebra. You should include a screenshot of your GeoGebra construction in your submission, le- aving all construction lines and circles in the diagram. You may use the shortcut constr- uction tools.

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.
Chapter3: Triangles
Section3.4: Basic Constructions Justified
Problem 38E
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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) (b) Prove that the cevians AD, BE and CF are concurrent using Ceva's Theorem. Demonstrate the concurrency of the cevians by constructing the triangle, its incircle, and the cevians in GeoGebra. You should include a screenshot of your GeoGebra construction in your submission, le- aving all construction lines and circles in the diagram. You may use the shortcut constr- uction tools.
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) (b) Prove that the cevians AD, BE and CF are concurrent using Ceva's Theorem. Demonstrate the concurrency of the cevians by constructing the triangle, its incircle, and the cevians in GeoGebra. You should include a screenshot of your GeoGebra construction in your submission, le- aving all construction lines and circles in the diagram. You may use the shortcut constr- uction tools.
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