Difference between revisions of "1971 Canadian MO Problems"
(New page: {{empty}} == Problem 1 == Solution == Problem 2 == Solution == Problem 3 == [[1971 Canadian ...) |
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| + | <math>DEB</math> is a chord of a circle such that <math>DE=3</math> and <math>EB=5 .</math> Let <math>O</math> be the center of the circle. Join <math>OE</math> and extend <math>OE</math> to cut the circle at <math>C.</math> Given <math>EC=1,</math> find the radius of the circle | ||
| + | [[Image:CanadianMO_1971-1.jpg]] | ||
Revision as of 12:52, 8 October 2007
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Contents
Problem 1
is a chord of a circle such that 
and 
Let 
be the center of the circle. Join 
and extend to cut the circle at 
Given 
find the radius of the circle
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 
