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Mimi2200
@Mimi2200
April 2019
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Urgen SVP!!! Mathématiques
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Verified answer
Bonjour,
on admet que ABC est rectangle en B
1) (MN)//(BC)
→thales
AM/AB
=AN/AC=
NM/BC
AM/200 = x/150
AM = 200x/150 = 4x/3
2) A AMN = (NM*AM)/2
= [x(4x/3]/2
= (4x²/3)/2
= 4x²/6 = 2x²/3
A ABC = (150*200)/2 =15000m²
A BNCM = 150000-(2x²/3)
4) 15000-(2x²/3) = 2x²/3
-2x²/3-2x²/3 = -15000
-4x²/3 = -15000
4x² = 15000*3
4x² = 45000
x² = 11250
x = √11250 = 75√2(m)
1 votes
Thanks 0
mimi2200
merci bcp
mimi2200
exuse moi ? dans le 2 ta mis A amn = NM* c'est quoi l'étoile elle signifie quoi?
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Verified answer
Bonjour,on admet que ABC est rectangle en B
1) (MN)//(BC)
→thales
AM/AB=AN/AC=NM/BC
AM/200 = x/150
AM = 200x/150 = 4x/3
2) A AMN = (NM*AM)/2
= [x(4x/3]/2
= (4x²/3)/2
= 4x²/6 = 2x²/3
A ABC = (150*200)/2 =15000m²
A BNCM = 150000-(2x²/3)
4) 15000-(2x²/3) = 2x²/3
-2x²/3-2x²/3 = -15000
-4x²/3 = -15000
4x² = 15000*3
4x² = 45000
x² = 11250
x = √11250 = 75√2(m)