Răspuns:
a=6, b=10, c=12
Explicație pas cu pas:
[tex]\frac{a}{3} =\frac{b}{5} =\frac{c}{7} \\5a=3b \\b=\frac{5a}{3} \\7a=3c \\c=\frac{7a}{3} \\a*\frac{5a}{3} *\frac{7a}{3}= 840\\\frac{35a^{3} }{9} =840\\35a^{3} = 7560\\a^{3}= 216\\a= 6\\b=\frac{5a}{3} \\b= 10\\c=\frac{7a}{3} \\c=14[/tex]
Verificare:
[tex]\frac{a}{3} =\frac{b}{5} =\frac{c}{7} \\\frac{6}{3} =\frac{10}{5} =\frac{14}{7}\\[/tex]
2=2=2 Adevărat
