question_answer

  D, E and F are mid-points of sides BC, CA and AB respectively of a Prove that

Answer:

                      Since D and E are mid points of the sides BC and CA respectively of                      DE ||BA                                    Similarly FE || BC and DF || CA                                AFDE is a || gm and BDEF is a || gm                      Now in and [Opposite angles of || gm AFDE]           [Opposite angles of || gm BDEF]           [By AA rule of similarity]                               Hence area  area