Question

Fie ABC cu B=30 grade și C=45 grade. Atunci AB supra Ac = ?.

Answer 1

Răspuns:

Explicație pas cu pas:

sinC/sinB = AB/BC/AC/BC = AB/AC

AB/AC = sin45°/sin30° = 1/√2/1/2 = 1/√2 : 1/2 = √2/2 × 2 = √2

Answer 2

$\it T.\ sinusurilor\ \Rightarrow\ \dfrac{AB}{sinC}=\dfrac{AC}{sinB} \Rightarrow \dfrac{AB}{AC}=\dfrac{sinC}{sinB}=\dfrac{sin45^o}{sin30^o} =\dfrac{\dfrac{\sqrt2}{2}}{\dfrac{1}{2}}=\sqrt2$