Problem: If A, B, C are the angles of a triangle, then show that
We apply Jensen’s Inequality and Arithmetic Mean – Geometric Mean inequality here. Since cosine function is concave in the interval , we have
- What is this topic: Properties of triangle
- What are some of the associated concept: Jensen Inequality, Arithmetic Mean-Geometric Mean Inequality
- Where can learn these topics: Cheenta I.S.I. & C.M.I. course, discusses these topics in the ‘Inequality’ module.
- Book Suggestions: ‘Secrets in Inequality’ by Pam Kim Hung