Question

Usando a lei dos senos, determine o valor do lado do triângulo abaixo.

Answer 1

Explicação passo-a-passo:

Usando a Lei dos Senos:

$\dfrac{x}{sen(45^{\circ})} =\dfrac{10}{sen(60^{\circ})}\\\\x. sen(60^{\circ})=10.sen(45^{\circ})\\\\x.\dfrac{\sqrt{3} }{2} =10.\dfrac{\sqrt{2} }{2} \\\\\dfrac{x.\sqrt{3} }{2}=5.\sqrt{2} \\\\x=\dfrac{2.5.\sqrt{2} }{\sqrt{3} } \\\\x=\dfrac{10\sqrt{2} }{\sqrt{3} }.\dfrac{\sqrt{3} }{\sqrt{3} } \\\\\boxed{\boxed{x=\dfrac{10\sqrt{6} }{3}cm }}$