Chapter: Triangles

• Types of Triangles
  • Scalene Triangle
    • No equal sides
    • No equal angles
  • Isosceles Triangle
    • Two equal sides
    • Two equal angles
  • Equilateral Triangle
    • Three equal sides
    • Three equal angles
  • Right-Angled Triangle
    • One right angle (90°)
    • Pythagoras' Theorem applicable
• Properties of Triangles
  • Angle Sum Property
    • Sum of all interior angles = 180°
  • Side Lengths
    • Triangle Inequality Theorem
      • Sum of any two sides > third side
  • Congruent Triangles
    • Same shape and size
    • SSS (Side-Side-Side) or SAS (Side-Angle-Side) congruence
• Theorems and Constructions
  • Pythagoras' Theorem
    • a² + b² = c² (where c is hypotenuse)
  • Construction of Triangle
    • Using ruler and compass
    • Constructing a triangle given its sides or angles