A triangle \( A B C \) exists such that
(a) \( (b+c+a)(b+c-a)=5 b c \)
(b) the sides are of leng... VIDEO
A triangle \( A B C \) exists such that
(a) \( (b+c+a)(b+c-a)=5 b c \)
(b) the sides are of lengths \( \sqrt{19}, \sqrt{38}, \sqrt{116} \)
(c) \( \left(\frac{b^{2}-c^{2}}{a^{2}}\right)+\left(\frac{c^{2}-a^{2}}{b^{2}}\right)+\left(\frac{a^{2}-b^{2}}{c^{2}}\right)=0 \)
(d) \( \cos \left(\frac{B-C}{2}\right)=(\sin B+\sin C) \cos \left(\frac{B+C}{2}\right) \)
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