Matematică
sorinqaz
5

Scrieti unghiurile triunghiurile ABC in ordinea crescatoare a masurilor lor, daca: AB/AC >1,2 BC/AC < 0,8.

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(2) Răspunsuri
rebeladry

[latex]\it \dfrac{AB}{AC} \ \textgreater \ 1,2\ \textgreater \ 1 \Rightarrow AB\ \textgreater \ AC \Rightarrow AC\ \textless \ AB \Rightarrow m(\hat B) \ \textless \ m(\hat C) \ \ \ \ (1) \\\;\\ \\\;\\ \dfrac{BC}{AC} \ \textless \ 0,8 \ \textless \ 1 \Rightarrow BC\ \textless \ AC\Rightarrow m(\hat A) \ \textless \ m(\hat B) \ \ \ \ (2) \\\;\\ \\\;\\ (1), (2) \Rightarrow m(\hat A) \ \textless \ m(\hat B) \ \textless \ m(\hat C) . [/latex]  

vanessamaria04

AB>AC (1) BCBC (2)   atunci din (1) si (2) ⇒AB>AC>BC  cum la latura cea mai mare corespunde unghiul cel mai mare  ∡C > ∡B >∡A as simple as that!

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