[tex] \frac{AB}{AC}= \frac{3}{4} \Rightarrow AB=3k~ si~AC=4k. \\ \\ AB^2+AC^2=BC^2 \\ \\ 9k^2+16k^2=2500 \\ \\ 25k^2=2500 \\ \\ k^2=100 \\ \\ k=10. \\ \\ AB=3k=3 \cdot 10 =30~(cm). \\ \\ AC=4k=4 \cdot 10 =40~(cm).[/tex]
[tex]h_a= \frac{AB \cdot AC}{BC}= \frac{30 \cdot 40}{50}= 24~(cm).[/tex]
