In a triangle \( A B C \), if \( \cos \frac{A}{2}=\sqrt{\frac{b+c}{2 c}} \), then.... VIDEO
In a triangle \( A B C \), if \( \cos \frac{A}{2}=\sqrt{\frac{b+c}{2 c}} \), then
(1) \( a^{2}+b^{2}=c^{2} \)
(2) \( b^{2}+c^{2}=a^{2} \)
(3) \( c^{2}+a^{2}=b^{2} \)
(4) \( b-c=c-a \)
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