\(\Delta AHB=\Delta AHC\Rightarrow\widehat{AHB}=\widehat{AHC}\) (2 góc tương ứng)
Mà \(\widehat{AHB}+\widehat{AHC}=180^o\) (2 góc kề bù)
\(\Rightarrow\widehat{AHB}=\widehat{AHC}=90^o\)
\(\Rightarrow AH\perp BC\left(đpcm\right)\)
\(\Delta AHB=\Delta AHC\Rightarrow\widehat{AHB}=\widehat{AHC}\left(2.góc.tương.ứng\right)\)
Ta có:\(\widehat{AHB}+\widehat{AHC}=180^o\left(2.góc.kề.bù\right)\\ \Rightarrow2\widehat{AHB}=180^o\left(vì\widehat{AHB}=\widehat{AHC}\right)\\ \Rightarrow\widehat{AHB}=90^o\\ \Rightarrow AH\perp BC\)