Prove the following:

Question

If c^2/(a+b)^2, a^2/(b+c)^2, b^2/(c+a)^2 are in AP(arithmetic progression) then show that s-c/(2s-c)^2, s-a/(2s-a)^2, s-b/(2s-b)^2 are also in AP where a,b,c are sides of a triangle ABC and s is the semi-perimeter.

Answer 1

Hint to solve this question: 

Take the common difference from the first series and use it in second.

Semi-perimeter of a triangle = (a+b+c) / 2

Comments

Hope this hint can help you solve the question