Ban viet de chua chinh xac : tg ABH khong bang tgABC ma bang tg BHK thi dung
a. trong tg vuong ABC co ^A = 90, ^B = 60 nen ^C = 30
b. Khong dung 60 cung duoc. bang cach chung minh nhu sau: HA = HK, HB chung, BA= BK nen
tg ABH = tg KBH (ccc)
Suy ra ^AHB = ^KHB va ^AHB + ^KHB = 180 nen ^KHB = ^AHB = 90 suy ra BH vuong goc AK
Vay AK vuong g BI
c. do tgBAI = tgBKI nen IA = IK suy ra tg AIK can t I => ^IAH = ^HKI va KD //AC nen ^IAH = ^HKN
Suy ra ^HKI = ^HKN => KA la phan giac cua ^IKD
d N la truc tam cua tg BAK (do BH vuong goc AB va KD vuong goc AD vi //AC) nen AN l duong cao ve tf A suy ra A, M, N thang hang