Choose a room in your home where the walls meet at a right angle. Suppose a triangular desk will be built in the corner of that room. It will be in the shape of a 30-60-90 right triangle. The length of the longer leg of the triangle is 5 feet.

1. Which room did you choose?

2. How could the length of the shorter leg be determined without measuring it? What is its length? Round your answer to the second decimal point. Show all of your work.

3. How could the length of the hypotenuse be determined without measuring it? What is its length? Round your answer to the second decimal point. Show all of your work.