Resources:
Real Life examples (and further links per topic, see side menu)
All the special names and relations of lines inside of triangles:
Indirect Proofs:
Triangle Inequality:
Inequalities in two triangles:
Chapter 5 Section 1
Chapter 5 Section 2
Chapter 5 Section 3
Chapter 5 Section 4
Chapter 5 Section 5
Chapter 5 Section 6
Chapter 5 Section 7