Michael drives \(x\) miles due north at arrives at Point \(A.\) He then heads due east for \(y\) miles. Finally, he driv

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