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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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