Difference between revisions of "1970 Canadian MO Problems"
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| + | A quadrilateral has one vertex on each side of a square of side-length 1. Show that the lengths <math>a</math>, <math>b</math>, <math>c</math> and <math>d</math> of the sides of the quadrilateral satisfy the inequalities <math>2\le a^2+b^2+c^2+d^2\le 4.</math> | ||
[[1970 Canadian MO Problems/Problem 5 | Solution]] | [[1970 Canadian MO Problems/Problem 5 | Solution]] | ||
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== Problem 6 == | == Problem 6 == | ||
Revision as of 12:51, 8 October 2007
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Contents
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
A quadrilateral has one vertex on each side of a square of side-length 1. Show that the lengths 
, 
, 
and 
of the sides of the quadrilateral satisfy the inequalities 
