About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
August 1998
<<July August September>>
We have a triangle ABC, with a point D on side AB, E, on side BC, and F on side CA. The smaller triangle, DEF, is equilateral. The line segments AD, BE, and CF all have equal length.
Problem: Prove that ABC is also equilateral.
Comment: Although we have a solution for this problem, it is not a simple one.
We will post the names of those who submit a correct, original solution! If you don't want your name posted then please include such a statement in your submission!
We invite visitors to our website to submit an elegant solution. Send your submission to the ponder@il.ibm.com.
If you have any problems you think we might enjoy, please send them in. All replies should be sent to: ponder@il.ibm.com
Challenge:
08/01/98 @ 9:00 AM EST
Solution:
09/01/98 @ 5:00 PM EST
List Updated:
12/01/01 @ 9:00 AM EST
People who answered correctly:
Attention: If your name is posted here and you wish it removed please send email to the ponder@il.ibm.com.