Question

You walk east 720 feet to get from your house to class. After class, you walk southwest 1,044 feet to meet your friends for lunch. When walking the 756 feet back home from lunch, what direction are you traveling?

Answer 1

northeast I think

Answer 2

Actually no that's incorrect. Here's a pic.

Answer 3

You use Pythagoren's theorem to figure it out. In a right triangle, the hypotenuse is equal to the sum of the lengths of the legs squared. 1, 044 squared is 1089936. 720 squared is equal to 518400. When you subtract 1089936 - 518400 you get 571536. Take the square root of that which is 756. As long as that leg is 756, which it is, the distance traveled home is a vertical line, meaning it is directly north.