If \( a, b, c \) are positive real numbers representing the sides of a scalene triangle. prove t...

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Counter-Strike: Source
Game:
Counter-Strike: Source (2004)
Duration: 9:57
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If \( a, b, c \) are positive real numbers representing the sides of a scalene triangle. prove that \( a b+b c+c aa^{2}+b^{2}+c^{2} \) \( 2(a b+b c+c a) \) or, \( 1\frac{a^{2}+b^{2}+c^{2}}{a b+b c+c a}2 \) and hence prove that \( 3(a b+b c+c a)(a+b+c)^{2}4(a b+b c+c a) \) or \( 3\frac{(a+b+c)^{2}}{a b+b c+c a}4 \)
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