shortest path on surface of rectangular parallelepiped
Source: IV Soros Olympiad 1997-98 R3 11. 6 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
June 2, 2024
geometry3D geometrygeometric inequality
Problem Statement
On the planet Brick, which has the shape of a rectangular parallelepiped with edges of km, km and km, the Little Prince built a house in the center of the largest face. What is the distance from the house to the most remote point on the planet? (The distance between two points on the surface of a planet is defined as the length of the shortest path along the surface connecting these points.)