in triunghiul ABC,m(<A)= 90 grade si AD _I_ BC,D ∈ BC. a)daca BD=2 cm si DC=8cm,calculati AD b)daca BD=12cm si DC=3cm,calculati AD c)daca AD=6cm si DC=4cm,calculati BD d) daca AD=10cm si BD=5cm ,calculati DC.
a)Teorema inaltimii in trg dreptunghic AD^2=BD*DC=2*8=16 ⇒ AD=4 cm b) Idem AD^2=12*3=36 cm ⇒ AD=6cm c) AD^2=BD*DC ⇒ BD=AD^2/DC=36/4= 9 cm d) CD=AD^2/BD=100/5=20 cm