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)
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Problem 4
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