D,E and F are respectively the mid-points of the sides AB, BC and CA of a ∆ABC

D,E and F are respectively the mid-points of the sides AB, BC and CA of a ∆ABC. Prove that by A a joining these mid-points D, E and F the ∆ABC is divided into four congruent triangles.

ABC is a triangle and D, E and F are the mid-points of sides AB, BC and CA, respectively.


Thus, ∆ABC is divided into four congruent triangles.