Question

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

Answer 1

Teorema sinusurilor:

$\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC} =4R$

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