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If (b^(2)+c^(2)-a^(2))/(2bc), (c^(2)+a^(...

If `(b^(2)+c^(2)-a^(2))/(2bc), (c^(2)+a^(2)-b^(2))/(2ca)` and `(a^(2)+b^(2)-c^(2))/(2ab)` are in A.P. then show that, `a(b+c-a), b(c+a-c)` and `c(a+b-c)` are also in A.P. `[a+b+c != 0]`.

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