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Let a, b, c be the side-lengths of a tri...

Let a, b, c be the side-lengths of a triangle, and l, m,n be the lengths of its medians. Put `K=((l+m+n)/(a+b+c))` Then, as a, b, c vary, K can assume every value in the interval

A

`(1/4,2/3)`

B

`(1/2,4/5)`

C

`(3/4,1)`

D

`(4/5,5/4)`

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