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2. Complete the following “proof” that every triangle is isosceles. (3 points) E Let ABC be a triangle. Label as G the point of intersection of the angle bisector of C and the perpendicular bisector of side AB. Denote by D, E, and F, the feet of the perpendiculars from G to the sides of the triangle. G 7 D First step: Prove that CF = CE. Second step: Prove that FA = EB. Third step: conclude that AC = BC. Fourth step: Find the error

2. Complete the following “proof” that every triangle is isosceles. (3 points) E Let ABC be a triangle. Label as G the point of intersection of the angle bisector of C and the perpendicular bisector of side AB. Denote by D, E, and F, the feet of the perpendiculars from G to the sides of the triangle. G 7 D First step: Prove that CF = CE. Second step: Prove that FA = EB. Third step: conclude that AC = BC. Fourth step: Find the error

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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2. Complete the following “proof” that every triangle is isosceles. (3 points) E Let ABC be a triangle. Label as G the point of intersection of the angle bisector of C and the perpendicular bisector of side AB. Denote by D, E, and F, the feet of the perpendiculars from G to the sides of the triangle. G 7 D First step: Prove that CF = CE. Second step: Prove that FA = EB. Third step: conclude that AC = BC. Fourth step: Find the error
Transcribed Image Text:2. Complete the following “proof” that every triangle is isosceles. (3 points) E Let ABC be a triangle. Label as G the point of intersection of the angle bisector of C and the perpendicular bisector of side AB. Denote by D, E, and F, the feet of the perpendiculars from G to the sides of the triangle. G 7 D First step: Prove that CF = CE. Second step: Prove that FA = EB. Third step: conclude that AC = BC. Fourth step: Find the error
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