Difference between revisions of "1970 Canadian MO Problems/Problem 5"

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* [[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 22:47, 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

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