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Multumesc!!!!!!!!!!!!!!!!!!!!!!!!!

Multumesc class=

Răspuns :

se incadreaza in cazul de asemanare U.U
Avem ∧A comun si ∧ADE≡∧ABC
atunci avem
ΔADE≈ΔABC

[tex]a)~ \angle ADE \equiv \angle ABC~si~ \angle EAD \equiv \angle BAC \Rightarrow \Delta ADE \sim \Delta ABC ~(U.U.). \\ \\ b)~Din~a)~rezulta: \\ \\ \frac{AD}{AB}= \frac{DE}{BC} = \frac{AE}{AC} \Leftrightarrow \frac{AD}{9}= \frac{14}{21} = \frac{AE}{15} \Rightarrow AD= \frac{9 \cdot 14}{21}= 6~(cm). \\ \\ AE= \frac{14 \cdot 15}{21}= 10~(cm).[/tex]