Cross Tyler
06/14/2023 · Junior High School

Exercice 16 I B et C sont trois points alignés tel que. Place un point E qui n'appartient pas à la droite \( (\mathrm{AB}) \). onstruire le point F tel que, La droite passant par B et parallèle \( (\mathrm{CE}) \) coupe la droite \( (\mathrm{AE}) \) au int G . Démontrer que \( \mathrm{AG}=2 / 3 \mathrm{AE} \)

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Pour démontrer que \( AG = \frac{2}{3} AE \), tracez une droite parallèle à \( (CE) \) passant par \( B \) et trouvez son point d'intersection avec \( (AE) \) en \( G \). Utilisez le théorème de Thalès pour montrer que \( \frac{AG}{GE} = \frac{AB}{BC} \) et déduisez que \( AG = \frac{2}{3} AE \).

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