Problem #WSP-5635

Problems Fun Problems
 10–14  2.0

Problem

The Arithmetic-Geometric inequality is one of the most famous inequalities. A particular case of this inequality says that for positive numbers \(a\) and \(b\), \(\frac{a+b}2\geq \sqrt{ab}\) with equality happening exactly when \(a=b\). Show this inequality using the diagram below:

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