Problem 3 Proving Triangle Is Equilateral

graph TB A[Problem-3: Proving triangle is equilateral] A --> B[Given: Triangle ABC] B --> C[Side AB = Side BC] B --> D[Side BC = Side AC] B --> E[Side AC = Side AB] C --> F[AB = BC implies Angle B = Angle C] D --> G[BC = AC implies Angle C = Angle A] E --> H[AC = AB implies Angle A = Angle B] F --> I[Angles B and C are equal] G --> J[Angles C and A are equal] H --> K[Angles A and B are equal] I --> L[Sum of Angles = 180 degrees] J --> L K --> L L --> M[Triangle ABC is equilateral]