a) Xét \(\Delta ABE\) và \(\Delta ACF:\)
\(\widehat{A}chung.\\ \widehat{AEB}=\widehat{AFC}\left(=90^o\right).\\ \Rightarrow\Delta ABE\sim\Delta ACF\left(g-g\right).\)
b) Xét \(\Delta AEF\) và \(\Delta ABC:\)
\(\widehat{A}chung.\\ \dfrac{AE}{AB}=\dfrac{AF}{AC}\left(\Delta ABE\sim\Delta ACF\right).\\ \Rightarrow\Delta AEF\sim\Delta ABC\left(c-g-c\right).\)
TK
https://hoc24.vn/cau-hoi/bai-1-cho-d-abc-cac-duong-cao-be-va-cf-cat-nhau-tai-ha-chung-minh-tam-giac-abe-dong-dang-voi-tam-giac-afcb-chung-minh-tam-giac-aef-dong-dang-voi.5075521880097
https://hoc24.vn/hoi-dap/tim-kiem?id=5075521880097&q=B%C3%A0i+1:+Cho+D+ABC,+c%C3%A1c+%C4%91%C6%B0%E1%BB%9Dng+cao+BE+v%C3%A0+CF+c%E1%BA%AFt+nhau+t%E1%BA%A1i+H.a)+Ch%E1%BB%A9ng+minh+tam+gi%C3%A1c+ABE+%C4%91%E1%BB%93ng+dCắt%E1%BA%A1ng+v%E1%BB%9Bi+tam+gi%C3%A1c+AFC.b)+Ch%E1%BB%A9ng+minh+tam+gi%C3%A1c+AEF+%C4%91%E1%BB%93ng+d%E1%BA%A1ng+v%E1%BB%9Bi+tam+gi%C3%A1c+ABC