Question

Determine a razão entre os segmentos AB e CD que medem respectivamente: a) 15 cm e 45 cm b)4 cm e √2 cm c)0,2 cm e 0,4 cm d)5√2 cm e 1 m

Answer 1

$a)~~ \frac{15cm}{45cm} = \frac{1}{3} ~~~~simplificando~~ \frac{15:15}{45:15} = \frac{1}{3} \\ \\ b)~~ \frac{4cm}{ \sqrt{2}cm } = \frac{2 \sqrt{2} }{1} ~~~~racionalizando~~ \frac{4 \sqrt{2} }{ \sqrt{2} . \sqrt{2} } = \frac{4 \sqrt{2} }{ \sqrt{4} } = \frac{4 \sqrt{2} }{2} = \frac{2 \sqrt{2} }{1}$ 

$c)~~ \frac{0,2cm}{0,4cm} = \frac{1}{2} ~~~~simplificando~~ \frac{0,2:0,2}{0,4:0,2} = \frac{1}{2} \\ \\ d)~~ \frac{5 \sqrt{2}cm }{1m} = \frac{5 \sqrt{2}cm }{100cm} = \frac{ \sqrt{2} }{20}$