Exercices corriges Pythagore 4eme
(màj 8 avril 2026)
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Exercices corriges Pythagore — 4eme
6 exercices pour maitriser le theoreme de Pythagore en 4eme.
Exercice 1 — Hypotenuse
Triangle MNP rectangle en M. MN = 5, MP = 12. Calculer NP.
Correction
NP2 = 25 + 144 = 169, NP = 13 cm
Exercice 2 — Cote
Triangle KLM rectangle en K. LM = 17, KL = 8. Calculer KM.
Correction
KM2 = 289 - 64 = 225, KM = 15 cm
Exercice 3 — Reciproque (oui)
Cotes : 7, 24, 25. Rectangle ?
Correction
252 = 625, 72+242 = 49+576 = 625. Egal => oui
Exercice 4 — Reciproque (non)
Cotes : 3, 5, 7. Rectangle ?
Correction
72 = 49, 32+52 = 34. Different => non
Exercice 5 — Diagonale terrain
Terrain rectangulaire 40 m x 30 m. Diagonale ?
Correction
d2 = 1600+900 = 2500, d = 50 m
Exercice 6 — Ecran TV
Ecran 80 cm x 60 cm. Diagonale ?
Correction
d2 = 6400+3600 = 10000, d = 100 cm
Triplets pythagoriciens : (3,4,5), (5,12,13), (8,15,17), (7,24,25). Leurs multiples marchent aussi !
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