\(CM:\Delta ABC\) vuông (Bộ 3 pitago)
Xét\(\Delta ABC\&\Delta HBA\) có:
\(\left\{{}\begin{matrix}\widehat{A}=\widehat{H}\left(=90^o\right)\\Chung\widehat{B}\end{matrix}\right.\)
\(\Rightarrow\Delta ABC\) đồng dạng với \(\Delta HBA\)(g.g)
=> \(\dfrac{AB}{BC}=\dfrac{AH}{AC}\)
\(\Rightarrow\dfrac{8}{17}=\dfrac{AH}{15}\)
\(\Rightarrow AH=\dfrac{8\times15}{17}=\dfrac{120}{17}\)