Découvrir, par la manipulation sur [b]GeoGebra[/b], la règle qui permet de savoir si trois longueurs peuvent former un triangle.

[list=1][*]Ouvre la figure sur [b]GeoGebra[/b].[br][/*][*]Observe les deux curseurs [b]AB[/b] et A[b]C[/b].[/*][*][b]Fais-les bouger[/b] pour modifier les longueurs et regarde quand le triangle [b]apparaît[/b] ou [b]disparaît[/b].[br][/*][*]Note tes observations sur ton cahier 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[/img]