Question

cho tam giác ABC nhon co AB < AC ke AH vuong goc BC o H ve phia ngoai tam giac ve doạn thang BD vuong goc voi AB va BD=AB, CE vuong goc voi AC va CE=AC ke DM vuong goc voi BC o M va EN vuong goc voi BN o N so sanh DBM va BAH , ECN va CAH

Answer 1

Giải:

Ta có: \(\widehat{B_1}+\widehat{B_2}+\widehat{B_3}=180^o\)

\(\Rightarrow\widehat{B_1}+\widehat{B_3}=90^o\left(\widehat{B_2}=90^o\right)\)

Trong t/g AHB có: \(\widehat{B_3}+\widehat{BAH}=90^o\)

\(\Rightarrow\widehat{B_1}=\widehat{BAH}\) hay \(\widehat{DBM}=\widehat{BAH}\)

Ta có: \(\widehat{C_1}+\widehat{C_2}+\widehat{C_3}=180^o\)

\(\Rightarrow\widehat{C_1}+\widehat{C_3}=90^o\left(\widehat{C_2}=90^o\right)\)

Trong t/g ACH có: \(\widehat{C_1}+\widehat{CAH}=90^o\)

\(\Rightarrow\widehat{C_3}=\widehat{CAH}\) hay \(\widehat{ECN}=\widehat{CAH}\)

Vậy...