Ta có : góc A+góc B+góc C=180
(=) góc A+80+30=180
(=) góc A=70
vì AD là phân giác của góc ABC => góc ADC=góc ADB=\(\dfrac{1}{2}\)BAC=35
vậy góc ADC=35,góc ADB=35
Cho tam giac ABC, goc A =60 do. Tia phan giac cua goc Bva C cat cac canh doi dien tai D va E, BD va CE cat nhau tai O. Tia phan giac cua goc BOC cat BC tai F. Chung minh a, OD=OE=OF b, Tam giac DEF la tam giac deu.
tam giac ABC co tia phan giac cua goc B cat AC o D.Qua A ke duong thang song song voi BD,duong thang nay cat duong thang BC o E.Chung minh rang goc BEA = goc BAE
cho tam giac ABC (AB<BC) duong phan giac BN Ola giao diem cua 3 duong phan giac trong Tu A ke 1 tia vuong goc voi BN,cat BC o H CM goc AOC=goc AHC
Cho tam giac ABC. Cac tia phan giac cua cac goc B va C cat nhau tai I. Chung minh rang AI la phan giac goc A
tam giac ABC co AB <AC tia phan giac cua goc B goc C cat nhau tai I so sanh IBva IC
cho tam giac ABC vuong tai A , co AB < AC . Tia phan giac goc A cat BC tai D. duong thang vuong goc BC cat AC o diem E. CM ; DB = DE
Cho tam giac ABC ( AB<AC). Tren canh AB lay diem E sao cho AE=AD . Tia phan giac cua goc a cat canh BC tai D . Chung minh : a,tam giac ABD=tam giac AED b,DE=DB c, BE vuong goc voi AD
Cho tam giac ABC ( AB < AC ) . Ke AL la phan giac cua goc A . Tu trung diem M cua canh BC , ke duong thang vuong goc voi AL , duong nay cat AC o E va cat AB o D .
a) CMR : AD = AE
b) Ke BB' // ED . CMR : B'E=EC=BD
c) CM cac he thuc : 2AD = AC+AB ; 2EC = AC - AB
d) Tinh goc BMD theo cac goc B, C
e ) Tim tren tia phan giac AL mot diem N cach deu hai diem B,C
cho tam giac ABC nhon co goc A = 60 do va hai duong phan giac BD va CE cat nhau o I tinh so do goc BIC b) IF la phan giac cua tam giac IBC chung minh tam giác IBE= tam giac BIF va tam giác CID = tam guac CIF