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

Le théorème de Pythagore (2/4)

Image de fond Freepik - Upklyak

Questions
flash

Retrouve l'égalité

Texte à compléter

Points à
relier

Exercices
rédigés

Retrouve la longueur

Calcule

Calcule les longueurs manquantes.
(Arrondis au dixième)

4,8

3,7

2,4

3,1

10,2

9,4

7

VALIDER

3

L'unité de longueur est centimètre.

Merci à Sébastien Nouaillier.

Bravo !

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

Image de fond Freepik - Upklyak

Valider

erreur

Recommencer

RHG triangle rectangle en H

EDF triangle rectangle en E

MNP triangle rectangle en P

RG² = RH² + HG²

DF² = ED² + EF²

RH² = GH² + GR²

MP² = MN² + NP²

EF² = ED² + DF²

MN² = MP² + PN²

Fais un schéma sur ton cahier et associe chaque triangle rectangle à son égalité de Pythagore, en cliquant d'abord sur le point à gauche puis sur celui correspondant à droite. Attention il y a des pièges !

Merci à Florence Rebolini

Bravo

Bravo !

Bravo

  • ST² = SR² + RT²
  • SR² = ST² + RT²
  • RT² = RS² + ST²

  • MP² = MN² + NP²
  • MN² = PM² + NP²
  • PN² = MN² + MP²

  • ZY² = ZX² + XY²
  • XY² = XZ² + ZY²
  • ZX² = ZY² + XY²

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

Merci à Hélène Soulier

VALIDER

Non...

Sélectionne l'égalité de Pythagore pour chaque triangle.

BRAVO !


L

Complète la démonstration suivante qui permet de calculer la longueur DF. Tu arrondiras ton résultat au dixième.

Dans le triangle DEF en

d'après le théorème de

on a :

BRAVO !

D ² = D ² + ²

D ² = ² + ²

D ² = +

D ² =

D = √

D ≈ cm

F

rectangle

2,4

F

2,56

E

E

5,76

2,9

F

EF

1,6

F

F

8,32

8,32

Pythagore

F

Image de fond Freepik - Upklyak

Sélectionne la longueur de l'hypoténuse de chaque triangle rectangle (valeur exacte ou arrondie au dixième).

10 cm

Un jeu d'Hélène Soulier

Bravo !

Non...

VALIDER

A

B

C

Dans le triangle ABC rectangle en B on peut
appliquer le théorème de

²

=

+ BC

²

²

?

3 cm

4 cm

On remplace par les valeurs :

²

=

AC

²

²

+

3

AC

²

=

AC =

La figure n'est pas à l'échelle.

D'après R.Fournel

Images : freepik, canva, freepng

Non, relis bien !

Complète la rédaction de cet exercice pour retrouver la longueur de l'hypoténuse :

²

=

AC

+

9

Bravo !

VALIDER

A

B

C

Dans le triangle ABC rectangle en B on peut
appliquer le théorème de

²

=

+ BC

²

²

?

6 cm

7 cm

On remplace par les valeurs numériques :

²

=

AC

²

²

+

6

AC

²

=

AC ≈

Non, relis bien !

(arrondi au dixième )

La figure n'est pas à l'échelle.

On calcule :

=

AC

²

+

36

Bravo !

VALIDER

A

B

C

Dans le triangle ABC rectangle en B on peut
appliquer le théorème de

On a :

²

=

+ BC

²

²

?

6 cm

10 cm

On remplace par les valeurs numériques :

²

=

AC

²

²

+

6

AC

²

=

AC ≈

Non, relis bien !

(arrondi au centième )

La figure n'est pas à l'échelle.

Bravo !

²

=

AC

+

36