The CTK Exchange Forums

CTK Exchange
CTK Wiki Math
Front Page
Movie shortcuts
Personal info
Awards
Terms of use
Privacy Policy

Cut The Knot!
MSET99 Talk
Games & Puzzles
Arithmetic/Algebra
Geometry
Probability
Eye Opener
Analog Gadgets
Inventor's Paradox
Did you know?...
Proofs
Math as Language
Things Impossible
My Logo
Math Poll
Other Math sit's
Guest book
News sit's

Recommend this site

CTK Exchange

Subject: "All-Russian Olympiad 2010 grade 9 P-8"

Previous Topic | Next Topic

Conferences The CTK Exchange This and that Topic #948
Printer-friendly copy Email this topic to a friend
Reading Topic #948

jmolokach
Member since Aug-17-10

Oct-09-10, 03:01 PM (EST)

Click to add this user to your buddy list

"All-Russian Olympiad 2010 grade 9 P-8"

The problem posted at:

https://www.artofproblemsolving.com/Forum/viewtopic.php?f=47&t=366012&start=0&

states "out of which you can construct a rhombus."

Does this mean the three pieces have to fit together to make a rhombus (with no gaps or overlaps)? If not I think I may have a solution where the rhombus has a sort of polygonal hole in the interior...

molokach

Alert | IP

Printer-friendly page | Reply | Reply With Quote | Top

alexb
Charter Member
2647 posts

Oct-09-10, 03:02 PM (EST)

1. "RE: All-Russian Olympiad 2010 grade 9 P-8"
In response to message #0

This is a common dissection problem. There should not be holes.

Alert | IP

Printer-friendly page | Reply | Reply With Quote | Top

jmolokach
Member since Aug-17-10

Oct-09-10, 03:23 PM (EST)

2. "RE: All-Russian Olympiad 2010 grade 9 P-8"
In response to message #1

so I suppose the challenge is in proving it. Dissection is a weak area of mine. I think I will leave this one alone...

molokach

Alert | IP

Printer-friendly page | Reply | Reply With Quote | Top

Conferences | Forums | Topics | Previous Topic | Next Topic

You may be curious to have a look at the old CTK Exchange archive.
Please do not post there.