shortest path, square, right isosceles (III Soros Olympiad 1996-97 R2 9.5)
Source:
May 31, 2024
geometrygeometric inequality
Problem Statement
An ant sits at vertex of unit square . He needs to get to point , where the entrance to the anthill is located. Points and are separated by a vertical wall in the form of an isosceles right triangle with hypotenuse . Find the length of the shortest path that an ant must overcome in order to get into the anthill.