Hosted by The Math Forum

Problem of the Week 839

Weighted Quadrilaterals

Spring 97 Archive || MacPOW Home || Math Forum POWs || Search MacPOW

A 3x4 rectangle has sides 3,4,3,4 and diagonals 5,5. Its "weight" is said to be 3+4+3+4+5+5 = 24. Find a quadrilateral with all sides and diagonals having integer length and whose weight is smaller than 24.

Bonus goes to the solution(s) with the smallest weights.

Source: Math Gazette March 1997, p. 18. Article by B. E. Peterson and J. H. Jordan. Result due to H. Harborth and A. Kemnitz.

© Copyright 1997 Stan Wagon. Reproduced with permission.

[Privacy Policy] [Terms of Use]

Home || The Math Library || Quick Reference || Search || Help 

© 1994-2013 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Drexel University School of Education.