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Please help.

Is it possible to have triangle other than equilateral of which sum of two sides = twice the other side?

That means is it possible to have $b+c=2a$, if $\triangle ABC$ is not an equilateral triangle.

enter image description here

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up vote 2 down vote accepted

Sure; why not? It obviously doesn’t happen in your picture, but what’s to keep you from having a triangle with sides $3,4$, and $5$, with $a=4$?

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Thank you very much. – Sumit Bhowmick Oct 10 '12 at 7:08
@Sumit: You’re very welcome. – Brian M. Scott Oct 10 '12 at 7:08

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