SOLUTION: Suppose you need to walk from a point P to a Point Q. You can either walk in a line from P to Q or you can walk in a line from P to another point R and then walk in a line from R t
Algebra ->
Triangles
-> SOLUTION: Suppose you need to walk from a point P to a Point Q. You can either walk in a line from P to Q or you can walk in a line from P to another point R and then walk in a line from R t
Log On
Question 577000: Suppose you need to walk from a point P to a Point Q. You can either walk in a line from P to Q or you can walk in a line from P to another point R and then walk in a line from R to Q. Which one is shorter? Please provide proof! Answer by richard1234(7193) (Show Source):
You can put this solution on YOUR website! Walk directly from P to Q (I believe this comes from one of Euler's postulates that the shortest distance between two points is a straight line). There are many proofs, some involving basic geometry, others involving vectors, others involving calculus.
