Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If a, b, c are positive real numbers and sides of the triangle, then prove that
(a + b + c) 3 ≥ 27 (a + b – c) (c + a – b) (b + c – a)
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
≥ ((a + b – c) (c + a – b) (b + c – a)) 1/3
(a+b+c) ≥ 3((a + b – c) (c + a – b) (b + c – a)) 1/3
(a+b+c) 3 ≥ 27 (a + b – c) (c + a – b) (b + c – a) Hence Proved
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