Question

Problema 1!
Punctele a ,b,c.
Va rog, dau coroana +50p

Answer 1

   
[tex]\displaystyle\\ \text{Ex. 1}\\\\ a)\\ m(\sphericalangle A)=38^o\\ m(\sphericalangle B)=65^0\\ \Longrightarrow~~m(\sphericalangle C)=180-65-38=77^o\\ m(\sphericalangle E)=65^o\\ m(\sphericalangle F)=77^o\\ \Longrightarrow~~m(\sphericalangle D)=180-65-77=38^o\\ \Longrightarrow~~\Delta ABC \sim \Delta DE F[/tex]


[tex]\displaystyle\\ b)\\ m(\sphericalangle A)=45^o\\ m(\sphericalangle C)=54^o\\ \Longrightarrow~~m(\sphericalangle B)=180-54-45=81^o\\ m(\sphericalangle F)=54^o\\ m(\sphericalangle D)=81^o\\ \Longrightarrow~~m(\sphericalangle E)=180-54-81=45^o\\ \Longrightarrow~~\Delta ABC \sim \Delta EFD~~~~~~~\text{(nu cu DE\!\,F)} [/tex]


[tex]\displaystyle\\ c)\\ m(\sphericalangle B)=70^o\\ m(\sphericalangle A)=40^o\\ \Longrightarrow~~m(\sphericalangle C)=180-70-40=70^o\\ m(\sphericalangle E)=70^o\\ m(\sphericalangle F)=60^o\\ \Longrightarrow~~m(\sphericalangle D)=180-70-60=50^o\\ \Longrightarrow~~\text{Cele 2 triunghiuri nu sunt asemenea.}[/tex]