Question

in figura 7 avem: [AB]=[AC],AD perpendicular AC,AE perpendicular Ab si AD=[AE].Arătați ca a) [BE]=[CD] b)

Answer 1

a)
Daca AD ⊥AC  => m(∡DAC)=90°
                         => m(∡DAB)=180-90=90°
Daca AE ⊥ AB => m(∡BAE)=90°
                         => m(∡CAE)=180-90=90°
Avem ΔABE-dreptunghic  | AB=AC (din ipoteza)
          ΔACD-dreptunghic  | AD=AE (din ipoteza)
                                        
                                        ↓ L.L.
                             ΔACD = ΔABE
                  CD ∈ ΔACD  si BE ∈  ΔABE 
                                        ↓
                                   CD=BE