Difference between revisions of "2016 IMO Problems/Problem 1"
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+ | Furthermore, | ||
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+ | It is also given that | ||
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+ | ~Athmyx | ||
==See Also== | ==See Also== | ||
{{IMO box|year=2016|before=First Problem|num-a=2}} | {{IMO box|year=2016|before=First Problem|num-a=2}} |
Revision as of 11:29, 20 April 2024
Problem
Triangle has a right angle at . Let be the point on line such that and lies between and . Point is chosen so that and is the bisector of . Point is chosen so that and is the bisector of . Let be the midpoint of . Let be the point such that is a parallelogram. Prove that and are concurrent.
Solution
Given
Furthermore,
It is also given that
~Athmyx
See Also
2016 IMO (Problems) • Resources | ||
Preceded by First Problem |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 2 |
All IMO Problems and Solutions |