Applications of Pythagorean Theorem

Question 1: You walk north 300m and west 400m. How far diagonally are you from where you started?

Question 2: Sam and Joe are traveling to the same location and from the same location. Sam charters an airplane, which allows him to fly directly to his destination. Joe drives straight South for 900 miles, then straight East for 400 miles. How far did Sam fly?

Question 3: Sam and Joe are traveling to the same location and from the same location. Sam charters an airplane, which allows him to fly directly to his destination. Joe drives straight South for 900 miles, then straight East for 400 miles. How much farther did Joe travel than Sam?

Question 4: Given a 3 dimensional box with two of the side measurements of the box, how would you find the diagonal of the box?

Question 5: When using the Pythagorean theorem in an application, once you know you have a right triangle, use must