Question

Calcular o valor de x .

Answer 1

Explicação passo-a-passo:

Pela lei dos senos:

$\sf \dfrac{x}{sen~45^{\circ}}=\dfrac{10}{sen~60^{\circ}}$

$\sf \dfrac{x}{\frac{\sqrt{2}}{2}}=\dfrac{10}{\frac{\sqrt{3}}{2}}$

$\sf \dfrac{x\sqrt{3}}{2}=\dfrac{10\sqrt{2}}{2}$

$\sf x\sqrt{3}=10\sqrt{2}$

$\sf x=\dfrac{10\sqrt{2}}{\sqrt{3}}$

$\sf x=\dfrac{10\sqrt{2}}{\sqrt{3}}\cdot\dfrac{\sqrt{3}}{\sqrt{3}}$

$\sf \red{x=\dfrac{10\sqrt{6}}{3}~cm}$

Answer 2

• Usando a Lei dos Senos:

x/sen(45º) = 10/sen(60º)

x/(√2/2) = 10/(√3/2)

2x/√2 = 20/√3

2x = 20√6/3

x = 10√6/3

Resposta: 10√6/3 cm