- #1
harry654
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Prove that in any triangle ABC with a sharp angle at the peak C apply inequality:(a^2+b^2)cos(α-β)<=2ab
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 don't know prove that (a^2+b^2)cos(α-β)<=2ab :(
thanks for your help
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 don't know prove that (a^2+b^2)cos(α-β)<=2ab :(
thanks for your help