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h7g9
@h7g9
January 2021
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A) Écrire en fonction de X les heures du triangle ABD ?
B) Écrire en fonction de X l'aire du triangle ABC ?
C) déduire des résultats précédents l'air du triangle ADC ?
D) Calculer directement l'air du triangle ADC et vérifier les résultats trouvés En C) ?
Merci a ceux ou celle qui m aiderons ☺️
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AhYan
A) Aire ABD = (AB×BD)/2
Aire ABD = (2x-4)(2x+4)/2
Aire ABD = [(2x)²-4²]/2
Aire ABD = (4x²-16)/2
Aire ABD = 2x²-8
B) Aire ABC = (AB×BC)/2
or BC=2x+4-8=2x-4
Aire ABC=(2x-4)²/2
Aire ABC = (4x²-16x+16)/2
Aire ABC = 2x²-8x+8
C) Aire ADC = Aire ABD - Aire ABC
Aire ADC = 2x²-8 - (2x²-8x+8) = 2x²-8-2x²+8x-8
Aire ADC = 8x-16
4 votes
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Aire ABD = (2x-4)(2x+4)/2
Aire ABD = [(2x)²-4²]/2
Aire ABD = (4x²-16)/2
Aire ABD = 2x²-8
B) Aire ABC = (AB×BC)/2
or BC=2x+4-8=2x-4
Aire ABC=(2x-4)²/2
Aire ABC = (4x²-16x+16)/2
Aire ABC = 2x²-8x+8
C) Aire ADC = Aire ABD - Aire ABC
Aire ADC = 2x²-8 - (2x²-8x+8) = 2x²-8-2x²+8x-8
Aire ADC = 8x-16