How you can relate Pythagoras theorem in real life?

Suppose you want to get from your house, located on the south-west corner of a field (rectangular shaped), to your friend's house, located in the north-east corner of the field. You can follow a road 4 miles East then 5 miles North for a total of 9 miles. You want to know how far it would be to get to your friend's house if you walked across the field. By pythagoras's theorem you know the distance from your house to your friend's house is sqrt(4^2+5^2)=6 miles. So going across the field saves 3 miles. that's your answer please ask another question we know everything