All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 A rectangle Around A rhombus (Posted on 2008-04-14)
A rectangle ABCD is circumscribed around a rhombus AECF. The long sides of the rectangle coincide with two sides of the rhombus. Also, the rhombus and the rectangle share a common diagonal AC.
```B       E               A
+-------+---------------+
|      /               /|
|     /               / |
|    /               /  |
|   /               /   |
|  /               /    |
| /               /     |
|/               /      |
+---------------+-------+
C               F       D
```
What are the smallest dimensions when all the lengths AB, BC, AE, AC and EF are integers?

Find a parameterization of all such integral rectangle/rhombus pairs.

 No Solution Yet Submitted by Brian Smith Rating: 3.5000 (2 votes)

 Subject Author Date Solution Dej Mar 2008-04-15 10:38:20 re: How odd! In answer to Charlie: computer solution for part 1 Charlie 2008-04-15 10:24:14 re: Computer aided - solace brianjn 2008-04-15 01:22:10 re: How odd! In answer to Charlie: computer solution for part 1 brianjn 2008-04-15 00:38:52 How odd! In answer to Charlie: computer solution for part 1 FrankM 2008-04-15 00:30:15 Whoops FrankM 2008-04-14 23:16:08 Computer aided. brianjn 2008-04-14 22:24:19 re: computer solution for part 1 Charlie 2008-04-14 15:53:39 computer solution for part 1 Charlie 2008-04-14 15:34:31 part 1 ? Dennis 2008-04-14 15:26:07 re: Here it is Charlie 2008-04-14 14:16:35 Here it is FrankM 2008-04-14 13:40:47 Oh!!! brianjn 2008-04-14 11:53:24

 Search: Search body:
Forums (0)