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Moving Day (Posted on 2004-05-26) Difficulty: 3 of 5
An easier version of this puzzle is here.

A large panel needs to be moved through a corridor, the panel is tall as the corridor. The corridor is A feet wide before a right angle turn, after the turn, it is B feet wide. What is the maximum length of the panel that can pass through this corner.

Overhead view of the hallway:

|           /   |
|          /    |B ft
|         /     |
|        /+------
|       / |
|      /  |
|     /   |
|    /    |
|   /     |
|  /      |
| /       |
|/        |
+<-A ft-->|

See The Solution Submitted by Brian Smith    
Rating: 3.8333 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Full Solution | Comment 8 of 31 |
(In reply to Full Solution by SilverKnight)

Without the calculus, which corrected the 45-degree assumption, consider geometrically a pivot around the inner corner.  On one side, the increment triangle is long and on the other it's short, so a small change in the angle, producing almost-similar triangles, will affect one side more than the other (one negatively and one positively), so as to leave room for change (and therefore not a min or max).
  Posted by Charlie on 2004-05-26 15:55:59

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