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03cecelol
@03cecelol
May 2019
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Svpp vraiment besoin d'aide je vois en supplie
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Bonjour,
a) aCh = aCb
aHc = bAc = 90°
⇒les 2 triangles sont semblables ( justifie avec les propriétés qui font que 2 triangles sont semblables)
b) HA/AB = HC/AC=AC/BC
c) HC/AC=AC/BC
HC/2 = 2/5
HC = 2*2/5 = 0,8
d) A BAC = AC*AB/2
AB² = 5²-4 = 21
AB = √21
A bAC = 2*√21/2 = 2√21/2 = 2√21/2
l'aire est aussi BC*AH/2
2√21/2 = 5*AH/2
AH = 4√21/10
hors √336/√100 = 4√21/10
en simplifiant 4√21/10 = AH = 2√21/5
e) avec pythagore ds BAC ( déjà calculé d)
ds AHC :
AB² = AH²+HB²
= (2√21/5)² + 4,2²
= 84/25+441/25
AB = √21
2 votes
Thanks 1
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Verified answer
Bonjour,a) aCh = aCb
aHc = bAc = 90°
⇒les 2 triangles sont semblables ( justifie avec les propriétés qui font que 2 triangles sont semblables)
b) HA/AB = HC/AC=AC/BC
c) HC/AC=AC/BC
HC/2 = 2/5
HC = 2*2/5 = 0,8
d) A BAC = AC*AB/2
AB² = 5²-4 = 21
AB = √21
A bAC = 2*√21/2 = 2√21/2 = 2√21/2
l'aire est aussi BC*AH/2
2√21/2 = 5*AH/2
AH = 4√21/10
hors √336/√100 = 4√21/10
en simplifiant 4√21/10 = AH = 2√21/5
e) avec pythagore ds BAC ( déjà calculé d)
ds AHC :
AB² = AH²+HB²
= (2√21/5)² + 4,2²
= 84/25+441/25
AB = √21