Question

Micky93, Renatemambouko, va roooooogggggggg

Answer 1

ΔABC-isoscel
[AB]=[AC]
<B=<C
D∈AC
E∈AB  --->[BE]=[DC] (1)

ΔBEC
ΔBDC    --->{(1)
                    {BC-latura comuna
                    {<B=<C - din Ip          ===> ΔBEC = ΔBDC
                      L.U.L                                ([BD]=[EC]) c.c.t.d     a)

b)[BD]∩[EC]={M}

ΔAMB
ΔAMC       --->{[AB]=[AC] -din Ip
                       {<A-unghi comun
                       {<B2=<C2 - din Ip      ===> ΔAMB=ΔAMC
                           U.L.U                               [AM]-latura comuna
                                                                   ==> <A1=<A2

ΔABC-isoscel
[AB]=[AC]
<A1=<A2       ====> AM-bisectoarea <A     c.c.t.d.