Difference between revisions of "1967 IMO Problems/Problem 4"
Catoptrics (talk | contribs) (Fixed the problem and provided the location of the solution.) |
Catoptrics (talk | contribs) |
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− | + | ==Solution== | |
+ | The solution to this problem can be found here: [https://artofproblemsolving.com/community/c6h21127p137262] | ||
[[Category:Olympiad Geometry Problems]] | [[Category:Olympiad Geometry Problems]] | ||
[[Category:Geometric Construction Problems]] | [[Category:Geometric Construction Problems]] |
Revision as of 22:50, 1 August 2020
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]