Another Triangle Fraction Bound

Problem

Let $a, b, c$ be the sides of a triangle. Prove that

\frac{a}{2a+c-b} + \frac{b}{2b+a-c} + \frac{c}{2c+b-a} \ge \frac32.

Answer

Solution

Difficulty	6/10
Topics	Cauchy-Schwarz, inequality

Whiteboard

Your sketch is saved only in this browser. To share it, export your drawing as an image (whiteboard menu → Export as → PNG), then upload that image in the comments below.

Discussion

Ask questions, share alternate solutions, and use LaTeX freely.

0 comments

No comments yet.