Question

URGENTEE !!! DETERMINE O VALOR DE X: ​

Answer 1

Explicação passo-a-passo:

Pela lei dos senos:

$\sf \dfrac{x}{sen~45^{\circ}}=\dfrac{3\sqrt{2}}{sen~60^{\circ}}$

$\sf \dfrac{x}{\frac{\sqrt{2}}{2}}=\dfrac{3\sqrt{2}}{\frac{\sqrt{3}}{2}}$

$\sf \dfrac{x\sqrt{3}}{2}=\dfrac{3\sqrt{2}\cdot\sqrt{2}}{2}$

$\sf \dfrac{x\sqrt{3}}{2}=\dfrac{3\cdot2}{2}$

$\sf \dfrac{x\sqrt{3}}{2}=\dfrac{6}{2}$

$\sf \dfrac{x\sqrt{3}}{2}=3$

$\sf x\sqrt{3}=2\cdot3$

$\sf x\sqrt{3}=6$

$\sf x=\dfrac{6}{\sqrt{3}}$

$\sf x=\dfrac{6}{\sqrt{3}}\cdot\dfrac{\sqrt{3}}{\sqrt{3}}$

$\sf x=\dfrac{6\sqrt{3}}{3}$

$\sf x=2\sqrt{3}$