Question

Пж
$\frac{10}{ \frac{ \sqrt{3} }{2} } = \frac{x}{ \frac{ \sqrt{2} }{2} }$
А)
$\frac{ \sqrt{3} }{2}$
Б)
$\frac{ \sqrt{2} }{3}$
В)
$\frac{ \sqrt{3} }{ \sqrt{2} }$
Г)
$\frac{ \sqrt{2} }{ \sqrt{3} }$
​

Answer 1

$\boxed {\; \frac{a}{b}=\frac{x}{c}\; \; \Rightarrow \; \; \; x=\frac{a\, \cdot \, c}{b}\; }\\\\\\\frac{10}{\frac{\sqrt3}{2}}=\frac{x}{\frac{\sqrt2}{2}}\; \; \; \Rightarrow \; \; \; x=\frac{10\, \cdot \, \frac{\sqrt2}{2}}{\frac{\sqrt3}{2}}\; \; ,\; \; x=\frac{10\, \cdot \, \sqrt2}{\sqrt3}=\frac{10\, \sqrt6}{3}$