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
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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