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

 The Fur Dresser's Mistake (Posted on 2004-05-28)
A fur dresser had to put a patch shaped like a scalene triangle on a piece of fur. Suddenly he realized he had made a terrible mistake. The patch fitted the hole but the fur side faced the wrong way.

The fur dresser, after some thought, cut the triangular patch into 3 parts, each of which would be unchanged when turned over. How?

 See The Solution Submitted by Victor Zapana Rating: 4.0000 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 Both Brian Smith's and rixar's work | Comment 11 of 12 |
Brian Smith's Solution:
Breaks the triangle into two isosceles triangles and a kite by forming right triangles and bisecting the sides. Both shapes have a line of symmetry and so can be flipped over. This solution will work for any triangle.

rixar's Solution:
Breaks the triangle into 3 kites by dropping prependiculars from the incenter. Again, this works for any triangle.

Nice solutions. (I'm jealous, but maybe I'll make some applets from geometer's sketchpad drawings.)

-Jer
 Posted by Jer on 2004-05-29 15:53:26
Please log in:
 Login: Password: Remember me: Sign up! | Forgot password

 Search: Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information