Michael drives \(x\) miles due north at arrives at Point \(A.\) He then heads due east for \(y\) miles. Finally, he drives \(z\) miles in a straight line until he reaches his starting point. If \(x, y,\) and \(z\) are integers, then how many miles did Michael drive if the shortest leg was \(5\) miles?

A. 5 miles

B. 12 miles

C. 25 miles

D. 30 miles

E . It cannot be determined by the information given.

[spoiler]OA=D[/spoiler]

Source: Magoosh