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In triunghiul ABC,D apartine (ab) E apartine (ac) DE||BC AB=16cm AD=4cm BC=18cm AC=12cm Calculati perimetrul triunghiului ADE

Răspuns :

AB=16cm
AD =4cm
BC =18 cm
AC =12cm
TEOREMA FUNDAMENTALA A ASEMANARII :

AD/AB =AE /BC =DE/BC
AD /AB =AE/BC  ;   4/16=AE /12  => AE =12*4/16 =3 cm
AE/AC =DE/BC   ;    3/12=DE/18  => DE =3*18/12 =4.5 cm
p =4+3+4.5 =11.5 cm