clement dit que le triangle représenté est rectangle 3ème Mathématiques


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  • Quels sont les 3 types de triangles ?

    Construction des hauteurs en trois étapes qui correspondent aux trois côtés d'un triangle ABC.
    Le côté [BC] : le sommet opposé est alors le point A.
    On trace la droite perpendiculaire à la droite [BC] passant par A.
    On note H le point d'intersection entre la hauteur et la droite [BC].

  • Comment faire les hauteurs d'un triangle ?

    La formule la plus courante est la suivante : A = 1/2bh, formule dans laquelle : • A aire du triangle, • B longueur de la base du triangle, • h hauteur associée à la base précédente.

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Comment prouver que un triangle est rectangle ?

Dans un triangle: Si le carré de la mesure de son plus grand côté est égal à la somme des carrés des mesures des deux autres côtés, alors ce triangle est rectangle et le plus grand côté est son hypoténuse.

Comment prouver qu'un triangle est rectangle en connaissant 2 longueurs ?

Si un triangle est inscrit dans un cercle et que l'un des côtés du triangle est un diamètre du cercle, alors le triangle est rectangle.

Quelle propriété permet d'affirmer que le triangle est rectangle ?

Le carré du plus grand côté (25) est égal à la somme des carrés des 2 autres côtés (25).
. Cette comparaison démontre que le triangle est rectangle.
. Conclusion: D'après la réciproque du théorème de Pythagore, le triangle ABC est rectangle en C.
. L'hypoténuse du triangle rectangle est [AB] (le plus grand côté).










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