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 12:10, 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 | ||
