Join Sarthaks eConnect Today - India's Largest Online Education Community!

Prove the following:

+3 votes
asked Aug 19, 2016 in Mathematics by Rahul Roy (7,895 points) 31 96 261
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.

1 Answer

+3 votes
answered Aug 20, 2016 by Annu Priya (17,871 points) 21 40 65

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

commented Aug 20, 2016 by Annu Priya (17,871 points) 21 40 65
Hope this hint can help you solve the question

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

One Thought Forever

“There is a close connection between getting up in the world and getting up in the morning.“
– Anon