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Calculati lungimea laturii AC a triunghiului ABC , stiind ca m (B) =45 grade , AB =10cm , m (C) = 30

Răspuns :

Razzvy
Teorema sinusurilor:

[tex] \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC} =4R[/tex]

[tex] \frac{AB}{sinC} = \frac{AC}{sinB}\\\\ AC= \frac{AB\cdot sinB}{sinC}\\\\ AC= \frac{10 \cdot sin45}{sin30}= 10\sqrt{2} [/tex]