Difference between revisions of "1967 IMO Problems/Problem 4"
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+ | == See Also == | ||
+ | {{IMO box|year=1967|num-b=3|num-a=5}} | ||
[[Category:Olympiad Geometry Problems]] | [[Category:Olympiad Geometry Problems]] | ||
[[Category:Geometric Construction Problems]] | [[Category:Geometric Construction Problems]] |
Revision as of 13:10, 29 January 2021
Let and
be any two acute-angled triangles. Consider all triangles
that are similar to
(so that vertices
,
,
correspond to vertices
,
,
, respectively) and circumscribed about triangle
(where
lies on
,
on
, and
on
). Of all such possible triangles, determine the one with maximum area, and construct it.
Solution
The solution to this problem can be found here: [1]
See Also
1967 IMO (Problems) • Resources | ||
Preceded by Problem 3 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 5 |
All IMO Problems and Solutions |