Question 1
On an analogue clock, the hour hand is 5 cm long and the minute hand is 10 cm long. It is currently 6:00. After $x$ minutes, the hour and minute hands will form two of the three sides of a right triangle (where the third side is the line segment that connects the tips of the hour and minute hands). If $0<x<60$, how many possible values of $x$ are there?