Art of Problem Solving

1970 Canadian MO Problems/Problem 5: Difference between revisions

Chess64 (talk | contribs)
No edit summary
Temperal (talk | contribs)
box
Line 4: Line 4:


== Solution ==
== Solution ==
{{solution}}




 
{{Old CanadaMO box|num-b=4|num-a=6|year=1970}}
----
* [[1970 Canadian MO Problems/Problem 4|Previous Problem]]
* [[1970 Canadian MO Problems/Problem 6|Next Problem]]
* [[1970 Canadian MO Problems|Back to Exam]]

Revision as of 21:47, 17 November 2007

Problem

A quadrilateral has one vertex on each side of a square of side-length 1. Show that the lengths $a$, $b$, $c$ and $d$ of the sides of the quadrilateral satisfy the inequalities $2\le a^2+b^2+c^2+d^2\le 4.$


Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.


1970 Canadian MO (Problems)
Preceded by
Problem 4
1 2 3 4 5 6 7 8 Followed by
Problem 6