[tex] \frac{a}{sen \: \beta } = \frac{b}{sen \gamma } [/tex]
[tex] \frac{3 \sqrt{2} }{sen \: 60°} = \frac{x}{sen \: 45 °} [/tex]
substitui o valor dos senos. indico utilizar a forma fracionaria.
[tex] \frac{3 \sqrt{2} }{ \frac{ \sqrt{3} }{2} } = \frac{x}{ \frac{ \sqrt{2} }{2} } [/tex]
multiplica cruzado:
[tex]x. \frac{ \sqrt{3} }{2} = 3 \sqrt{2} \: . \: \frac{ \sqrt{2} }{2} [/tex]
[tex] \frac{ \sqrt{3} }{2} x = \frac{3 \sqrt{4} }{2} [/tex]
[tex] \frac{ \sqrt{3} }{2} x = \frac{3.2}{2} [/tex]
[tex] \frac{ \sqrt{3} }{2} x = \frac{6}{2} [/tex]
[tex] \frac{ \sqrt{3} }{2} x = 3[/tex]
[tex]x = \frac{3}{ \frac{ \sqrt{3} }{2} } [/tex]
[tex]x = 3. \frac{2}{ \sqrt{3} } [/tex]
[tex]x = \frac{6}{ \sqrt{3} } [/tex]
tenque racionaliza. entao multiplica por uma fraçao com a raiz ali.
[tex]x = \frac{6}{ \sqrt{3} } . \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]
[tex]x = \frac{6\sqrt{3}}{ \sqrt{9} }[/tex]
[tex]x = \frac{6\sqrt{3}}{ 3 }[/tex]
[tex]\red{\bold{x = 2\sqrt{3}}}[/tex]
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[tex] \frac{a}{sen \: \beta } = \frac{b}{sen \gamma } [/tex]
[tex] \frac{3 \sqrt{2} }{sen \: 60°} = \frac{x}{sen \: 45 °} [/tex]
substitui o valor dos senos. indico utilizar a forma fracionaria.
[tex] \frac{3 \sqrt{2} }{ \frac{ \sqrt{3} }{2} } = \frac{x}{ \frac{ \sqrt{2} }{2} } [/tex]
multiplica cruzado:
[tex]x. \frac{ \sqrt{3} }{2} = 3 \sqrt{2} \: . \: \frac{ \sqrt{2} }{2} [/tex]
[tex] \frac{ \sqrt{3} }{2} x = \frac{3 \sqrt{4} }{2} [/tex]
[tex] \frac{ \sqrt{3} }{2} x = \frac{3.2}{2} [/tex]
[tex] \frac{ \sqrt{3} }{2} x = \frac{6}{2} [/tex]
[tex] \frac{ \sqrt{3} }{2} x = 3[/tex]
[tex]x = \frac{3}{ \frac{ \sqrt{3} }{2} } [/tex]
[tex]x = 3. \frac{2}{ \sqrt{3} } [/tex]
[tex]x = \frac{6}{ \sqrt{3} } [/tex]
tenque racionaliza. entao multiplica por uma fraçao com a raiz ali.
[tex]x = \frac{6}{ \sqrt{3} } . \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]
[tex]x = \frac{6\sqrt{3}}{ \sqrt{9} }[/tex]
[tex]x = \frac{6\sqrt{3}}{ 3 }[/tex]
[tex]\red{\bold{x = 2\sqrt{3}}}[/tex]