2013 UMO Problems/Problem 4
Problem
Given line and distinct points and on line , draw lines and through point , with angles and as marked in the figure. Also, draw line segment at an angle of from line such that it intersects line at . Establish necessary and sufficient conditions on , , and such that a triangle can be drawn with one of its sides as with lines , , and as the angle bisectors of that triangle.
Solution
See Also
2013 UMO (Problems • Answer Key • Resources) | ||
Preceded by Problem 3 |
Followed by Problem 5 | |
1 • 2 • 3 • 4 • 5 • 6 | ||
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