Question

Given the side AC of triangle ABC is the greatest sides. Prove that angle B should be greater than 60 degree

Answer 1

AB is greatest side then AB>BC means ∠C > ∠A

and AB > AC means ∠C > ∠B

adding these, 2∠C > ∠A + ∠B

3∠C > ∠A + ∠B + ∠C

3∠C > 180°

∠C > 60°

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