2005 IMO Problems/Problem 1
Problem
Six points are chosen on the sides of an equilateral triangle
:
on
,
,
on
and
,
on
, such that they are the vertices of a convex hexagon
with equal side lengths. Prove that the lines
and
are concurrent.
Solution
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See Also
| 2005 IMO (Problems) • Resources | ||
| Preceded by First Problem |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 2 |
| All IMO Problems and Solutions | ||