 Geometric inequalities

Geometric inequalities are mathematical statements that establish relationships between different geometric quantities, such as lengths, areas, angles, and volumes. These inequalities often provide useful bounds or constraints on these quantities and can be applied in various fields, including geometry, optimization, and analysis. Some common types of geometric inequalities include: 1. **Triangle Inequalities**: In any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.