cho tam giac ABC, cac duong cao BH va CK
a) chung minh AK*AB=AH*AC
b) Chung minh tam giac AKH dong dang voi tam giac ACB
c) biet AB=20cm, AK=12cm, CK=9cm. tinh S tam giac AKH
d) goi I la diem chuyen dong tren AH, qua A ve AM vuong goc voi BI tai M
chung minh BI*BM+AI*AH=AB2