Difference between revisions of "1970 Canadian MO Problems/Problem 5"
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== Problem == | == Problem == | ||
| − | A quadrilateral has one vertex on each side of a square of side-length 1. Show that the lengths | + | 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> |
Revision as of 14:34, 30 July 2006
Problem
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 
