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

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

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If (b^2+c^2-a^2)/(2b c),(c^2+a^2-b^2)/(2c a),(a^2+b^2-c^2)/(2a b) are in A.P. and a+b+c=0 then prove that a(b+c-a),b(c+a-b),c(a+b-c) are in A.P.

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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