ta có: AB:AC=3:4 suy ra AB/3=AC/4
áp dụng định lí py-ta-go, ta có:
\(BC^2=AB^2+AC^2=30^2=900\)
\(\frac{AB}{3}=\frac{AC}{4}\Rightarrow\left(\frac{AB}{3}\right)^2=\left(\frac{AC}{4}\right)^2\Rightarrow\frac{AB^2}{9}=\frac{AC^2}{81}=\frac{AB^2+AC^2}{9+81}=\frac{900}{90}=10\)
AB^2=10.9=90
\(AB=\sqrt{90}\)(cm)