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Nadya
@Nadya
January 2021
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140
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Bonjour, Pouvez vous m'aider j'ai ce tableau de proportionnalité mais je n'y arrive pas. merci pour votre aide.
a b c a+b+c 180 9
5 3 2 d 3d b+3
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trudelmichel
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Bonjour,
a/5=b/3=c/2=(a+b+c)/d=180/3d=9/b+3
a/5=b/3 alors 3a=5b a=5/3b
c/2=b/3 alors 3c=2b c= 2/3b
a+b+c=5/3b+b+2/3b=b(5/3+1+2/3)=b(5/3+3/3+2/3)=(10/3)b
(a+b+c)/d=180/3d alors
180d=3d(a+b+c)
180=3(a+b+c)
a+b+c=180/3=60
a+b+c=(10/3)b
(10/3)b=60
b=60/(10/3)=60*3/10=180/10
b=18
si b=18
alors a=5/3b= (5/3)18= 5*18/3=5*6=30 a=30
alors c=2/3b=2/3(18)=2*18/3=2*6=12 c=12
180/3d=9/b+3
b+3=18+3=21
180/3d=9/21 alors 9*3d=180*21alors d=(180*21)/ 9*3=(9*20*7*3/9*3)=140
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Nadya
Merci bpc pour toi ca doit etre logique, moi je comprends rien. Il y aune autre solution STP
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aidez-moi je n'y arrive pas SVP
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Bonjour,a/5=b/3=c/2=(a+b+c)/d=180/3d=9/b+3
a/5=b/3 alors 3a=5b a=5/3b
c/2=b/3 alors 3c=2b c= 2/3b
a+b+c=5/3b+b+2/3b=b(5/3+1+2/3)=b(5/3+3/3+2/3)=(10/3)b
(a+b+c)/d=180/3d alors
180d=3d(a+b+c)
180=3(a+b+c)
a+b+c=180/3=60
a+b+c=(10/3)b
(10/3)b=60
b=60/(10/3)=60*3/10=180/10
b=18
si b=18
alors a=5/3b= (5/3)18= 5*18/3=5*6=30 a=30
alors c=2/3b=2/3(18)=2*18/3=2*6=12 c=12
180/3d=9/b+3
b+3=18+3=21
180/3d=9/21 alors 9*3d=180*21alors d=(180*21)/ 9*3=(9*20*7*3/9*3)=140