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Ex 65 : Étagères , merci d’ avance

Ex 65 : Étagères , merci d’ avance-example-1
User Lomza
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1 Answer

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Answer:

Voir ci-dessous.

Explanation:

1.

OA/OD = 36/64 = 9/16

OB/OC = 27/48 = 9/16

m<AOB = m<COD

triangle AOB ~ trianlge DOC

m<BAO = m<CDO

AB || CD

2.

AB/CD = OA/OD

AB/80 = 36/64

AB/80 = 9/16

16AB = 9 × 80

AB = 9 × 5

AB = 45

AB = 45 cm

3.

AB = 45

BC = OC + OB = 48 + 27 = 75

AB² + AC² = BC²

45² + AC² = 75²

AC² = 5625 - 2025

AC = √3600

AC = 60 cm

hauteur = 5 × 2 cm + 4 × 60 cm

hauteur = 10 cm + 240 cm

hauteur = 250 cm

User Justin Rhoades
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