\(AC=AD+CD=4x+5x=9x\)
Ta có \(\frac{AB}{BC}=\frac{AD}{CD}=\frac{4x}{5x}=\frac{4}{5}\Rightarrow AB=\frac{4}{5}BC\)
\(BC^2=AB^2+AC^2\left(\text{Định lí Pytago}\right)\)
\(\Leftrightarrow BC^2=\left(\frac{4}{5}BC\right)^2+81x^2\)
\(\Leftrightarrow\frac{9}{25}BC^2=81x^2\Rightarrow BC=15x\Rightarrow AB=12x\)