Explicação passo a passo:
Lei do seno
a)
[tex]{3\sqrt{2} \over sen60^{\circ}}={x\over sen45^{\circ}}\\ \\ {3\sqrt{2} \over{\sqrt{2} \over2}}={x\over{\sqrt{2} \over2}}\\ \\ x.{\sqrt{2} \over2}=3\sqrt{2}.{\sqrt{2} \over2}\\ \\ x.{\sqrt{2} \over\not2}={3.\sqrt{4} \over\not2}\\ \\ x={3\sqrt{4} \over\sqrt{2} }\\ \\ \large\bf x=3\sqrt{2} }[/tex]
--------------------------------------------
b)
[tex]{x\over sen30^{\circ}}={8\over sen45^{\circ}}\\ \\ {x\over{1\over2}}={8\over{\sqrt{2} \over2}}\\ \\ x.{\sqrt{2} \over2}={8\times{1\over2}}\\ \\ x.{\sqrt{2} \over2}=4\\ \\ x=4.{2\over\sqrt{2} } }\\ \\ x={8\over\sqrt{2} }\\ \\ racionalizar\\ \\ x={8\sqrt{2} \over2}\\ \\ \large\bf x=4\sqrt{2} }[/tex]
--------------------------------------------
c)
[tex]{x\over sen45^{\circ}}={10\over sen30^{\circ}}\\ \\ {x\over{\sqrt{2} \over2}}={10\over{1\over2}}\\ \\ {1\over\not2}.x=10.{\sqrt{2} \over\not2}\\ \\ \large\bf x=10\sqrt{2} }[/tex]
