Răspuns:
a = 1
b = 3/2
c = 5/2
Explicație pas cu pas:
[tex]\frac{a}{2} = \frac{b}{3} = \frac{c}{5} = k = > a = 2k ; b = 3k ; c = 5k[/tex]
[tex]a*b*c = 3,75 = > 2k*3k*5k = 3,75 = > 30k^{3} = 3,75[/tex]
[tex]k = \sqrt[3]{\frac{3,75}{30} } = \sqrt[3]{0,125} = \sqrt[3]{\frac{125}{1000} } = \sqrt[3]{\frac{5^{3} }{10^{3} } } = \frac{5}{10} = \frac{1}{2}[/tex]
[tex]a = 2k = 2*\frac{1}{2} = 1[/tex]
[tex]b = 3k = \frac{3}{2}[/tex]
[tex]c = 5k = \frac{5}{2}[/tex]
