a fost răspuns

in triunghiul dreptunghic ABC m ( , a) = 90 grade are inaltimea AD egala cu 6√3 cm si AB = 12 cm

a) BD?

b) DC?

c) AC?

Răspuns :

Miky93id
ΔABC, mas<A=90
AD_|_BC
AD-h

ΔADB, mas<D=90

BD²=AB²-AD²= 12²- (6√3)²= 144-108= 36  =>BD=6

ΔABC, mas<A=90

AB²=BD*BC

12²=6*BC

144=6*BC

BC=144/6= 24

DC=BC-BD=24-6=18

AC²=BC²-AB²= 24²-12²=576-144= 432  =>AC=12√3

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