Prove that in any triangle ABC with a sharp angle at the peak C apply inequality:(a^2+b^2)cos(α-β)<=2ab(adsbygoogle = window.adsbygoogle || []).push({});

Determine when equality occurs.

I tried to solve this problem... I proved that (a^2+b^2+c^2)^2/3 >= (4S(ABC))^2,

S(ABC) - area

but I dont know prove that (a^2+b^2)cos(α-β)<=2ab :(

thanks for your help

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# Inequality in triangle

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