Question

Triunghi DEF asemenea cu triunghi ABC
DE=10
FD=22
EF=14
K=2supra5
Aflati laturile Triunghiului ABC

VA ROG CAT MAI REPEDR

Answer 1

[tex]\it \Delta D EF \sim \Delta ABC \Rightarrow \dfrac{DE}{AB}=\dfrac{EF}{BC}=\dfrac{DF}{AC} =\dfrac{2}{5} \Rightarrow \\\;\\ \\\;\\ \Rightarrow \dfrac{10}{AB}=\dfrac{14}{BC}=\dfrac{22}{AC} =\dfrac{2}{5} |_{:2}\Rightarrow \dfrac{5}{AB}=\dfrac{7}{BC}=\dfrac{11}{AC} =\dfrac{1}{5} \Rightarrow \\\;\\ \\\;\\\ \Rightarrow \begin{cases} \it AB = 5\cdot5=25 \\ \it BC = 5\cdot7=35 \\ \it AC = 5\cdot11=55\end{cases}[/tex]

Answer 2

Sper sa te ajute. Succes