Unit 5: Inequalities

The study of inequalities in geometry provides a fascinating lens into the relationships between geometric shapes and their measurements. Our website explores the principles of geometric inequalities, delving into concepts such as the Triangle Inequality Theorem. These principles have broad applications in fields like optimization, computer science, and engineering, where they aid in solving problems involving spatial constraints, resource allocation, and network design. By understanding geometric inequalities, students unlock the potential to tackle complex challenges with efficiency and elegance, strengthening their problem-solving capabilities across disciplines.

Lessons

5.1 – Properties of Inequalities & Addition & Subtraction

5.2 – Inequality Properties of Multiplication Division & Triangles

5.3 – Triangle Inequalities

5.4 – Proofs with Triangle Inequalities 1

5.5 – Proofs with Triangle Inequalities 2