Question

In triunghiul ABC,E∈(AB) , F∈(AC). Daca EFllBC si AB=18cm , AC=36 cm , AE=12cm , calculati AF.
Raspunsul este 24 dar mie imi trebuie rezolvarea completa.

Answer 1

BE=6cm
Si scrii AE/AB =AF/AC =>12/18=AF/36=>2/3=AF/36=>AF=36×2/3=>AF=24cm

Answer 2

ΔABC ,E∈[AB] si F∈[AC];
EF║BC ⇒ΔAEF≈ΔABC ⇔AE/AB=EF/BC=AF/AC ⇔
12/18=EF/BC=AF/36 ⇔
12/18=AF/36 ⇔2/3=AF/36 ⇒AF=24cm;