Difference between revisions of "2013 UMO Problems/Problem 4"
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Latest revision as of 20:16, 16 February 2020
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 | ||
All UMO Problems and Solutions |