Difference between revisions of "2006 Canadian MO Problems/Problem 5"
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The vertices of right triangle <math>ABC</math> inscribed in a circle divide the three arcs, we draw a tangent intercepted by the lines <math>AB</math> and <math>AC</math>. If the tangency points are <math>D</math>, <math>E</math>, and <math>F</math>, show that the triangle <math>DEF</math> is equilateral. | The vertices of right triangle <math>ABC</math> inscribed in a circle divide the three arcs, we draw a tangent intercepted by the lines <math>AB</math> and <math>AC</math>. If the tangency points are <math>D</math>, <math>E</math>, and <math>F</math>, show that the triangle <math>DEF</math> is equilateral. | ||
==Solution== | ==Solution== | ||
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{{solution}} | {{solution}} | ||
| + | ==See also== | ||
*[[2006 Canadian MO]] | *[[2006 Canadian MO]] | ||
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| + | {{CanadaMO box|year=2006|num-b=4|after=Last question}} | ||
Revision as of 19:58, 7 February 2007
Problem
The vertices of right triangle 
inscribed in a circle divide the three arcs, we draw a tangent intercepted by the lines 
and 
. If the tangency points are 
, 
, and 
, show that the triangle 
is equilateral.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 2006 Canadian MO (Problems) | ||
| Preceded by Problem 4 |
1 • 2 • 3 • 4 • 5 | Followed by Last question |
