1971 Canadian MO Problems/Problem 1

Problem

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.

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Solution

First, extend to meet the circle at Let the radius be Applying power of a point, and Hence,

See Also

1971 Canadian MO (Problems)
Preceded by First Question	1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 •	Followed by Problem 2