We have
AD=9 in
DB=4 in
find DC,AC and BC
we can do the next equivalences
[tex]\frac{AD}{DC}=\frac{DC}{DB}[/tex][tex]\frac{9}{DC}=\frac{DC}{4}[/tex]
then we clear DC
[tex]\begin{gathered} DC=\sqrt[]{36} \\ DC=6 \end{gathered}[/tex]
For AC we use the Pythagorean theorem
[tex]AC=\sqrt[]{9^2+6^2}=10.81[/tex]
For BC we use the Pythagorean theorem
[tex]BC=\sqrt[]{6^2+4^2}=7.21[/tex]
