Question

Daca triunghiul MNP este asemenea cu triunghiul EFD, MN=30 cm, MP=35 cm, ED=28 cm si m( unghiul E)= 65°, calculti lungimile segmentului [EF] si masura unghiului M.

Answer 1

[tex]\Delta MNP \sim \Delta EDF=\ \textgreater \ \frac{MP}{ED} = \frac{MN}{EF} =\ \textgreater \ \\\\ \frac{35}{28} = \frac{30}{EF} =\ \textgreater \ EF= \frac{28*30}{35} =\ \textgreater \ \bold{EF=24~cm}\\\\ \Delta MNP \sim \Delta EFD =\ \textgreater \ m(\ \textless \ E)=\bold{(\ \textless \ M)=65\°}[/tex]