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2006 Canadian MO Problems/Problem 5

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Problem

The vertices of right triangle ABC inscribed in a circle divide the three arcs, we draw a tangent intercepted by the lines AB and AC. If the tangency points are D, E, and F, show that the triangle DEF is equilateral.

Solution

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See also

2006 Canadian MO (Problems)
Preceded by
Problem 4
1 2 3 4 5 Followed by
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Want to learn how to tackle those tough AMC/AIME/Olympiad counting and probability problems? Check out Art of Problem Solving's Intermediate Counting & Probability by David Patrick.
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