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

**Physics Forums - The Fusion of Science and Community**

# Inequality in triangle

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

- Similar discussions for: Inequality in triangle

Loading...

**Physics Forums - The Fusion of Science and Community**