"Give me a few (at least 3 - preferably from three different fields) examples from day to day practical life that I could use to explain the importance of the formula X ^ 2 + Y ^ 2 = d ^ 2 to a person who has never heard of Euclid or Pythogoras and has neither the time nor the interest to learn geometry just now (but I need to create the interest in him urgently to use it)."
It's the equation of a circle and there a lots of applications requiring the use of circles. Here are some:
- Graphics of all kinds including in computers, TV and movies. There many circles or partial circles on this page (every o for example).
- Routing cell phone calls.
- Navigation of planes, ships, Mars rovers. Applications of GPS such as in your car.
- Anything involving trigonometry (sines and cosines), which is just about everything today.
It's very kind of you that you took the trouble to answer my request.
But please be more specific.
Show me what is to be taken as "x", as "y" and as "d". And then show why this complicated calculation of squares and then the square root becomes essential. I mean, it must be a situation where all other methods fail, while this formula provides the only way out. Otherwise it simply is a waste of time and efforts; If one can measure and get an exact answer why bother to calculate - especialy while finding square roots is not an easy operation to do manually?.
But please be more specific. To measure what?
Show me what is to be taken as "x", as "y" and as "d". And then show why this complicated calculation of squares and then the square root becomes essential. I mean, it must be a situation where all other methods fail, while this formula provides the only way out. Otherwise it simply is a waste of time and efforts; If one can measure and get an exact answer why bother to calculate - especialy while finding square roots is not an easy operation to do manually?.