Răspuns:
[tex]\frac{2a}{2a+6} =\frac{5b}{5b+25} =\frac{4c}{4c+16}[/tex]
Rastorni fractiile
[tex]\frac{2a+6}{2a} =\frac{5b+25}{5b}=\frac{4c+16}{4c}[/tex][tex]\frac{2a}{2a} +\frac{6}{2a} =\frac{5b}{5b} +\frac{25}{5b} =\frac{4c}{4c}+\frac{16}{4c}[/tex]
[tex]1+\frac{a}{3} =1+\frac{b}{5} =1+\frac{c}{4}[/tex]=>
[tex]\frac{a}{3} =\frac{b}{5} =\frac{c}{4} =k[/tex]
[tex]\frac{a}{3} =k =>a=3k[/tex]
[tex]\frac{b}{5} =k=> b=5k[/tex]
[tex]\frac{c}{4} =k =>c=4k[/tex]
a , b sunt razele lui O1 si O2
C=distanta O1O2
Observi ca a+b=3k+5k=8k>4k
Adica a+b>c
Cercurile sunt secante
Explicație:
