Answer
DC=8$\frac{1}{3}$
Work Step by Step
BD$^2$+AD$^2$=AB$^2$
AB=$\sqrt {34}$
$\frac{DC+BD}{AB}$=$\frac{AB}{BD}$
$\frac{DC+3}{\sqrt {34}}$=$\frac{\sqrt {34}}{3}$
3DC+9=34
3DC=25
DC=8$\frac{1}{3}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.