[tex]\it a=2b cos C =2b\dfrac{a^2+b^2-c^2}{2ab} =\dfrac{a^2+b^2-c^2}{a} \Longrightarrow
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\Longrightarrow \it a^2= a^2+b^2-c^2 \Longrightarrow b^2-c^2=0 \Longrightarrow (b-c)(b+c) = 0
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\Longrightarrow \it b-c = 0 \Longrightarrow b = c \Longrightarrow \Delta ABC - \ isoscel,\ AC=AB[/tex]