Question

Daca 2a=b+c si 2b=b+ a si 2c= a+b sa se arate ca a=b=c

Answer 1

$\frac{b+c}{a}=\frac{c+a}{b}=\frac{a+b}{c}=2$
Adunam numitorii la numaratori si obtinem tot un sir de rapoarte egale
[tex]\frac{a+b+c}{a}=\frac{a+b+c}{b}=\frac{a+b+c}{c}\\ [/tex]
Cum avem aceeasi numaratori rezulta: $a=b=c$

Answer 2

b+c/a=c+a/b=a+b/c=2

a+b+c/a=a+b+c/b=a+b+c/c

a=b=c