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Prove that (b^2+c^2)/(b+c)+(c^2+a^2)/(c...

Prove that `(b^2+c^2)/(b+c)+(c^2+a^2)/(c+a)+(a^2+b^2)/(a+b)> a+b+c`

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
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  3. Prove that (b^2+c^2)/(b+c)+(c^2+a^2)/(c+a)+(a^2+b^2)/(a+b)> a+b+c

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  10. Find the least value of secA+secB+secC in an acute angled triangle.

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  16. If a+b+c=1, then prove that 8/(27a b c)>{1/a-1}{1/b-1}{1/c-1}> 8.

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  19. Find the minimum value of 4sin^(2)x+4cos^(2)x .

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