Question

URGENTEEEE plss!!!!!!!

Answer 1

Usando a Lei dos Senos:

$\frac{a}{sen(A)} = \frac{b}{sen(B)} \\ \\ \frac{5 \sqrt{2} }{sen(30)} = \frac{b}{sen(45)} \\ \\ \frac{5 \sqrt{2} }{ \frac{1}{2} } = \frac{b}{ \frac{ \sqrt{2} }{2} } \\ \\ 5 \sqrt{2} . \frac{ \sqrt{2} }{2}=b. \frac{1}{2} \\ \\ \frac{5 \sqrt{4}}{2} =\frac{b}{2}\\ \\5 \sqrt{4}=2.\frac{b}{2} \\ \\ 5 \sqrt{4}=b\\ \\ b = 5.2 \\ \\ \boxed{\boxed{b=10 cm}}$