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Question

Question: If a, b, c, d are the sides of a quadrilateral, then the minimum value of <img src="https://cdn.pure...

If a, b, c, d are the sides of a quadrilateral, then the minimum value of is

A

1

B

½

C

1/3

D

) ¼

Answer

1/3

Explanation

Solution

(a – b)2 + (b – c)2 + (c – a)2 ³ 0

Ž 2Sa2 ³ 2Sab

or 3Sa2 ³ Sa2 + 2Sab or 3Sa2 ³ (Sa)2 > d2