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Lalalili36
@Lalalili36
April 2019
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Faciiile ! Cite un triangle rectangle, Justifier la réponse
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Bonjour,
Il suffit de construire un triangle ABC tel que AB = 3, BC = 4 et AC = 5.
Ce triangle est rectangle en B.
En effet :
AB² = 3²
AB² = 9
BC² = 4²
BC² = 16
AC² = 5²
AC² = 25.
25 = 9 + 16
D'où,
AC² = AB² + BC²
Par la réciproque du théorème de Pythagore, le triangle ABC est rectangle et l'hypoténuse est [AC].
Par conséquent,
ce triangle ABC est rectangle en B.
2 votes
Thanks 1
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Il suffit de construire un triangle ABC tel que AB = 3, BC = 4 et AC = 5.
Ce triangle est rectangle en B.
En effet :
AB² = 3²
AB² = 9
BC² = 4²
BC² = 16
AC² = 5²
AC² = 25.
25 = 9 + 16
D'où, AC² = AB² + BC²
Par la réciproque du théorème de Pythagore, le triangle ABC est rectangle et l'hypoténuse est [AC].
Par conséquent, ce triangle ABC est rectangle en B.