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originally posted by: theatreboy
So I was trudging a mile to my transmitter this morning. I got to thinking, about the quickest way to get from point a to point b is a straight line. Of course, I had pathagras' thearom in my head. We all learned about the 3-4-5 triangle. It is quickest to go the hypotenuse 5 rather than 3 and then 4.
But this does not take into account time.
Today, if I went a to b, it would have taken me 10 extra minutes because I would be walking through 1.5 feet of snow. However, if I went 3 and then 4, it was quicker....no snow.
Is there a theorem that takes into account time and difficulty of travel.
Thank you all.
originally posted by: eriktheawful
a reply to: theatreboy
Pythagorean's Theorem, A^2+B^2=C^2 for finding the hypotenuse of a right triangle (and most other formulas for triangles) are dealing with classic Euclidean geometry.....under ideal conditions.
Not really meant for real world problems which is what you're describing.
What you are describing is more of a physics problem because you are including new variables other then the length of 3 sides of a triangle.
You're including things like time, effort, energy, and force.
As others have stated, for many physics problems, you'll need to go from Algebra and simple geometry to Calculus in order to solve it.
On paper at least.
Another way to solve it is to simply perform the actions and see what your answers are.